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

Question

Suppose we 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

To reject H₀ in favor of H₁, we need strong evidence to support the claim that the population mean is less than 30. The smaller the sample mean and the larger the sample standard deviation, the stronger the evidence against the null hypothesis. Among the given options, option B has the smallest sample mean (x̄ = 27) and a relatively large sample standard deviation (s = 4), indicating that the sample mean is significantly lower than 30. Therefore, option B gives the strongest evidence to reject H₀ in favor of H₁.

Suppose We Want to Test H0 : μ ≥ 30

Suppose We Want to Test H₀: μ ≥ 30