Suppose you want to test H₀: μ ≥ 30 versus H₁: μ

Question

Suppose you want to test H₀: μ ≥ 30 versus H₁: μ < 30. Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H₀ in favor of H₁?
A) = 28, S = 6 
B) = 27, S = 4 
C) = 32, S = 2 
D) = 26, S = 9

Quizplus · Accepted Answer

We need a sample result that is farthest away from the null hypothesis value of μ=30. The sample mean in choice B is only 3 units away from the null hypothesis value whereas the sample means in choices A, C, and D are closer to the null hypothesis value. Additionally, the sample standard deviation in choice B is smaller than the other options which indicates less variability in the data and thus a stronger result in favor of rejecting H₀.

Suppose You Want to Test H₀: μ ≥ 30 Versus