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 (H_A).

Research question: Are any of the group means different?

Which option correctly states H₀ and H_A?

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

Incorrect MC

8b8f_4d90

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 (H_A).

Research question: Is the mean different from 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Incorrect

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

Incorrect

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

Correct

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

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

Which option correctly states H₀ and H_A?

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.
H_A: 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.
H_A: 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.
H_A: 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.
H_A: 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

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 (H_A).

Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Incorrect

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

Correct

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

Incorrect

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

Incorrect MC

4aa2_9d84

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

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

Research question: Are any of the group means different?

Which option correctly states H₀ and H_A?

H₀: All group means are equal.
In words: All group means are equal.
H_A: 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.
H_A: 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.
H_A: 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.
H_A: The sample means are not all equal.
In words: The sample means are not all equal.

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 (H_A).

Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Incorrect

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

Incorrect

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

Correct 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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

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 (H_A).

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

Which option correctly states H₀ and H_A?

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

Incorrect 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 (H_A).

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

Which option correctly states H₀ and H_A?

Correct

Incorrect

Incorrect MC

dbbb_285d

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

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

Correct

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 (H_A).

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

Which option correctly states H₀ and H_A?

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

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

Incorrect MC

dbbb_85a6

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

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

Which option correctly states H₀ and H_A?

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.
H_A: 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.
H_A: 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.
H_A: 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

Incorrect MC

8b47_fd7f

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 (H_A).

Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Correct

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

Incorrect

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

Incorrect

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

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Correct

Incorrect

Incorrect MC

8b8f_a3b4

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 (H_A).

Research question: Is the mean different from 7.5 lbs?

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct MC

733f_336b

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect 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 (H_A).

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

Which option correctly states H₀ and H_A?

Correct

Incorrect

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct MC

733f_03b0

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

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 (H_A).

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

Which option correctly states H₀ and H_A?

Correct

Incorrect

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Correct

Incorrect

Incorrect MC

39e1_1b01

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct

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 (H_A).

Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

Research question: Are any of the group means different?

Which option correctly states H₀ and H_A?

H₀: At least one group mean is different.
In words: At least one group mean is different.
H_A: 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.
H_A: 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.
H_A: 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.
H_A: The sample means are not all equal.
In words: The sample means are not all equal.

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 (H_A).

Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Incorrect

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

Incorrect

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

Correct 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 (H_A).

Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Incorrect

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

Incorrect

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

Correct

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct

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 (H_A).

Research question: Is the mean different from 7.5 lbs?

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct 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 (H_A).

Research question: Is the mean different from 7.5 lbs?

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

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 (H_A).

Research question: Is the mean higher than 7.5 lbs?

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

Incorrect MC

0a45_7ee5

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 (H_A).

Research question: Are any of the group means different?

Which option correctly states H₀ and H_A?

H₀: The sample means are all equal.
In words: The sample means are all equal.
H_A: 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.
H_A: 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.
H_A: 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.
H_A: All group means are equal.
In words: All group means 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 (H_A).

Research question: Is the mean different from 7.5 lbs?

Which option correctly states H₀ and H_A?

Incorrect

Correct MC

39e1_ef09

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct MC

4f64_8c48

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

Incorrect 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 (H_A).

Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Correct

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

Incorrect

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

Incorrect

Incorrect 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 (H_A).

Research question: Is the mean lower than 7.5 lbs?

Which option correctly states H₀ and H_A?

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

Incorrect

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

Correct

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

Incorrect

Incorrect MC

39e1_26de

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 (H_A).

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

Which option correctly states H₀ and H_A?

Correct

Incorrect

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 (H_A).

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

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect

Incorrect 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 (H_A).

Research question: Are the 2014 and 2024 values different?

Which option correctly states H₀ and H_A?

Incorrect

Correct

Incorrect