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 size of 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 to test whether μ is less than 30. Therefore, we are interested in the lower tail of the t-distribution. A smaller value of t indicates that the sample mean is farther away from 30. Among the given options, option B has the smallest sample mean and smallest standard deviation, which corresponds to the largest t-value. Therefore, option B gives the strongest evidence to reject H₀ in favor of H₁.

Suppose You Want to Test H0 : μ ≥ 30

Suppose You Want to Test H₀: μ ≥ 30