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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.