7f90_6058

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean different from 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct They swapped the null and alternative hypotheses. Incorrect MC

9e8e_a637

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean different from 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Correct MC

7342_5ac7

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

H₀: x̄₂₀₁₄ (xbar_2014) = x̄₂₀₂₄ (xbar_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
H_A: x̄₂₀₂₄ (xbar_2024) > x̄₂₀₁₄ (xbar_2014)
In words: The mean Shannon Diversity Index value in 2024 is greater than the value in 2014.

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

e071_5800

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

H₀: s₂₀₁₄² (s2_2014) = s₂₀₂₄² (s2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
H_A: s₂₀₁₄² (s2_2014) ≠ s₂₀₂₄² (s2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are different.

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect MC

2f08_a637

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

5dec_ab9c

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect MC

7342_edf2

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct MC

1c84_ebe5

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

4bda_5ac7

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

H₀: x̄₂₀₁₄ (xbar_2014) = x̄₂₀₂₄ (xbar_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are equal.
H_A: x̄₂₀₁₄ (xbar_2014) ≠ x̄₂₀₂₄ (xbar_2024)
In words: The mean Shannon Diversity Index values in 2014 and 2024 are different.

What is the main problem with their hypotheses?

d73c_a637

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean lower than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect MC

2f08_88e3

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

5ff2_cfa8

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They swapped the null and alternative hypotheses. Correct MC

edb5_d665

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect MC

373a_61d2

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

H₀: s₂₀₁₄² (s2_2014) = s₂₀₂₄² (s2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
H_A: s₂₀₂₄² (s2_2024) < s₂₀₁₄² (s2_2014)
In words: The variance Shannon Diversity Index value in 2024 is less than the value in 2014.

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct MC

373a_215b

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect MC

9e8e_ab9c

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean different from 7.5 lbs?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Correct They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect MC

373a_edf2

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

d73c_cfa8

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean lower than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct They swapped the null and alternative hypotheses. Incorrect MC

0a7b_2713

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

2f08_cfa8

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

7f90_5800

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean different from 7.5 lbs?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Correct They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect MC

4a0c_215b

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Correct They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect MC

5ff2_d1dc

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct MC

0a7b_5800

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

1ed2_6058

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

1b81_ebe5

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

3c5c_4cd4

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

2f08_4801

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct MC

621d_ebe5

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct MC

0a7b_d665

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct MC

41ba_d665

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect MC

d8bb_5800

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct MC

2f08_ebe5

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Correct They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

1c84_6058

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean higher than 7.5 lbs?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect They swapped the null and alternative hypotheses. Incorrect MC

4cb3_d028

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean lower than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Correct They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

d8bb_ebe5

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

de97_73cc

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct MC

0db2_d665

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

bfcf_749e

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Correct MC

7342_4cd4

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect MC

3e1c_ebe5

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Is the mean lower than 7.5 lbs?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

ad0c_88e3

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct MC

5a97_d1dc

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

H₀: s₂₀₁₄² (s2_2014) = s₂₀₂₄² (s2_2024)
In words: The variance Shannon Diversity Index values in 2014 and 2024 are equal.
H_A: s₂₀₂₄² (s2_2024) > s₂₀₁₄² (s2_2014)
In words: The variance Shannon Diversity Index value in 2024 is greater than the value in 2014.

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct They wrote the null hypothesis as an inequality (the null should include equality). Incorrect MC

5a97_f8be

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct They swapped the null and alternative hypotheses. Incorrect MC

4a0c_749e

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Correct They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Incorrect MC

621d_6058

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

5a97_bd8f

Your lab partner is trying again (eye roll).

Scenario: Two-sample variance test (F test)

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

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They swapped the null and alternative hypotheses. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Correct MC

de97_f8be

Your lab partner is trying again (eye roll).

Scenario: 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.

Research question: Are the 2014 and 2024 values different?

They wrote the hypotheses below:

What is the main problem with their hypotheses?

Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Correct They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Incorrect MC

d8bb_749e

Your lab partner is trying again (eye roll).

Scenario: 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.

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

They wrote the hypotheses below:

What is the main problem with their hypotheses?

They wrote the null hypothesis as an inequality (the null should include equality). Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect They used sample statistics (like x̄ or s²) instead of population parameters. Incorrect They swapped the null and alternative hypotheses. Incorrect MC

1b81_a637

Your lab partner is trying again (eye roll).

Scenario: 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).

Research question: Are any of the group means different?

They wrote the hypotheses below:

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

What is the main problem with their hypotheses?

They used sample statistics (like x̄ or s²) instead of population parameters. Correct Nothing is wrong; the hypotheses are stated correctly. Incorrect They wrote the null hypothesis as an inequality (the null should include equality). Incorrect They swapped the null and alternative hypotheses. Incorrect