MC

0a45_2642

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct MC

e53c_50fe

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

541d_2ddf

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b8f_5470

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

8b8f_c407

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct MC

dbbb_5cb3

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4aa2_c287

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

e53c_f95e

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct MC

541d_4b52

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4aa2_6c16

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

8b8f_c05c

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

8b47_7a62

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

dbbb_1bcd

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

dbbb_8c96

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4aa2_14f8

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

8b47_da40

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

39e1_adb8

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b8f_be22

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

0a45_e740

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct MC

0a45_fc7c

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect MC

39e1_b5f6

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

733f_1d29

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

541d_bf9c

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

8b47_a618

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

541d_1801

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b47_20e6

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

4f64_f41e

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

0a45_0cd3

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct MC

39e1_a8ca

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

0a45_a5b9

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct MC

8b47_8b3a

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

8b8f_0ba2

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

39e1_3b3c

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

733f_bab1

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

dbbb_94b2

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

541d_e143

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

4f64_d58d

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

39e1_311b

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

733f_6a19

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

8b47_d83f

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct MC

0a45_8a06

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect MC

0a45_d3f3

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

4aa2_657f

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

541d_3dd4

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4f64_5cce

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

dbbb_9bd2

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4aa2_3448

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

39e1_6be4

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

0a45_cc6d

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

dbbb_3b09

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

541d_e78c

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

39e1_592a

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

e53c_db67

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

8b47_b0ab

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

8b47_2a92

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

e53c_3ba0

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct MC

e53c_a52f

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

4f64_9fd9

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

0a45_5316

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect MC

733f_1e51

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

541d_2261

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4aa2_69dc

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

4aa2_6217

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4f64_38fc

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

dbbb_daf5

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

dbbb_13e7

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b8f_d41e

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

e53c_8a84

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

dbbb_5f3b

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4aa2_743d

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

0a45_b50a

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

e53c_fb36

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

541d_54e7

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b47_7be8

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

733f_8b6d

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

0a45_bbd0

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

39e1_1751

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

4aa2_04f0

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

dbbb_8514

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

733f_855f

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

0a45_4216

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

541d_cf79

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4aa2_ae39

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b47_05cf

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct MC

e53c_0d3f

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

4aa2_1eae

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

4aa2_725e

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

8b8f_6574

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

e53c_ba8e

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

e53c_abf3

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

dbbb_4497

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

dbbb_5d6f

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

8b8f_d5ba

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct MC

39e1_e500

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

4f64_4ca5

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4aa2_fe7e

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

733f_e77c

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

dbbb_5f38

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

8b8f_6c2d

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

0a45_2000

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

e53c_b377

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

733f_1d7f

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b47_2ba9

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

541d_7b67

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

733f_d62e

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

4f64_9979

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4f64_f1d7

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

541d_a03d

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

e53c_48e9

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct MC

dbbb_739c

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

39e1_921e

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b47_8d82

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct MC

733f_8003

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

39e1_f7ed

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

4aa2_f351

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

541d_d740

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

39e1_dda4

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

733f_4ebc

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

e53c_b9c0

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct MC

39e1_0398

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b8f_fd32

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

0a45_a985

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

733f_b1df

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

733f_0d4b

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

541d_3af2

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4f64_1a69

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

4aa2_04b1

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b8f_232a

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct MC

4f64_99c8

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4f64_d699

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

0a45_b6ee

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

39e1_94c9

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

dbbb_3b27

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

4aa2_a532

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

8b47_9457

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct MC

dbbb_2ccf

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

4f64_27c1

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

541d_8a42

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

dbbb_25cf

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b8f_8c02

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

733f_c2d8

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

0a45_c51f

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct MC

8b8f_6abb

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct MC

4aa2_eb7a

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4aa2_fd28

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct MC

e53c_87df

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

dbbb_4451

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

8b47_9afa

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

8b47_6d51

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

733f_fcef

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b8f_fa30

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

4f64_9e1d

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

0a45_c92c

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect MC

8b47_699c

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

4f64_4b76

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

733f_28ef

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

541d_a8e1

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

e53c_1f9f

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

4f64_035b

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

39e1_b8bc

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect MC

dbbb_6ca8

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

733f_c6ec

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

39e1_985c

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4f64_d791

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

0a45_c049

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect MC

e53c_22cb

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

0a45_617b

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

4f64_a2c0

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

8b47_f29e

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

0a45_5f25

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct MC

4f64_2161

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

dbbb_459f

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

541d_ce6c

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct MC

0a45_6976

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect MC

733f_6007

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b8f_22be

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

39e1_a288

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b47_3347

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

733f_e220

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

4f64_7a88

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

733f_8f5c

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

dbbb_0ad9

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: μ2014 (mu_2014) ≠ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

8b8f_e5ba

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct MC

39e1_e1a7

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct MC

e53c_eed3

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

4aa2_d7ce

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect MC

541d_d0c6

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

8b8f_e47e

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect MC

8b47_8637

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.
HA: μhospital (mu_hospital) > 7.5
In words: The hospital mean birth weight is greater than 7.5 lbs.

Incorrect MC

39e1_d6e2

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) < σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

e53c_eeb6

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

0a45_fca1

Hypotheses practice: ANOVA (five years of Shannon diversity)

Ecologists measure Shannon Diversity Index at the same set of sites across five years (1994, 2004, 2009, 2014, 2024).

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are any of the group means different?

Which option correctly states H0 and HA?

H0: At least one group mean is different.
In words: At least one group mean is different.
HA: All group means are equal.
In words: All group means are equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: At least one group mean is different.
In words: At least one group mean is different.

Correct

H0: The sample means are all equal.
In words: The sample means are all equal.
HA: The sample means are not all equal.
In words: The sample means are not all equal.

Incorrect

H0: All group means are equal.
In words: All group means are equal.
HA: All group means are equal.
In words: All group means are equal.

Incorrect MC

541d_edf4

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) > σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: σ20242 (sigma^2_2024) > σ20142 (sigma^2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

4f64_26a0

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value smaller than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Correct

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.

Incorrect

H0: μ2024 (mu_2024) < μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is less than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect MC

4aa2_516a

Hypotheses practice: Two-sample variance test (F test)

Ecologists want to know whether the variability of Shannon Diversity Index measurements changed between 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Are the 2014 and 2024 values different?

Which option correctly states H0 and HA?

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: σ20142 (sigma^2_2014) < σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: σ20142 (sigma^2_2014) ≥ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: σ20142 (sigma^2_2014) = σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Correct

H0: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.
HA: σ20142 (sigma^2_2014) ≠ σ20242 (sigma^2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

Incorrect MC

e53c_f484

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect MC

8b8f_d99d

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean different from 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) ≠ 7.5
In words: The hospital mean birth weight is different from 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect MC

733f_b8ba

Hypotheses practice: Two-sample mean test (Shannon diversity 2014 vs 2024)

Ecologists compare Shannon Diversity Index measurements taken at the same set of sites in 2014 and 2024.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the 2024 value larger than the 2014 value?

Which option correctly states H0 and HA?

H0: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Correct

H0: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.
HA: μ2014 (mu_2014) = μ2024 (mu_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.

Incorrect

H0: μ2014 (mu_2014) < μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is less than the value in 2024.
HA: μ2014 (mu_2014) ≥ μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than or equal to the value in 2024.

Incorrect

H0: μ2014 (mu_2014) > μ2024 (mu_2024)
In words: The mean Shannon Diversity Index value in 2014 is greater than the value in 2024.
HA: μ2024 (mu_2024) > μ2014 (mu_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

Incorrect MC

e53c_9187

Hypotheses practice: One-sample mean test (baby weights)

Joe's Hospital of Fried Foods claims their newborns are heavier than the national average.

The national average birth weight is 7.5 lbs.

Your task is to correctly identify the null hypothesis (H0) and the alternative hypothesis (HA).


Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H0 and HA?

H0: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Correct

H0: μhospital (mu_hospital) = 8.0
In words: The hospital mean birth weight equals 8.0 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.

Incorrect

H0: μhospital (mu_hospital) < 7.5
In words: The hospital mean birth weight is less than 7.5 lbs.
HA: μhospital (mu_hospital) = 7.5
In words: The hospital mean birth weight equals 7.5 lbs.

Incorrect