Given the following information about a hypothesis test of the difference between two means based on independent random samples, which one of the following is the correct rejection region at a significance level of .05? H_A: μ_A μ_B, ₁ = 12, ₂ = 9, s₁ = 4, s₂ = 2, n₁ = 13, n₂ = 10. A) Reject H₀ if t 1.96. B) Reject H₀ if t 1.645. C) Reject H₀ if t 1.721. D) Reject H₀ if t 2.08. E) Reject H₀ if t 1.782.

Question

Given the following information about a hypothesis test of the difference between two means based on independent random samples, which one of the following is the correct rejection region at a significance level of .05? H_A: μ_A > μ_B, ₁ = 12, ₂ = 9, s₁ = 4, s₂ = 2, n₁ = 13, n₂ = 10. A) Reject H₀ if t > 1.96. B) Reject H₀ if t > 1.645. C) Reject H₀ if t > 1.721. D) Reject H₀ if t > 2.08. E) Reject H₀ if t > 1.782.

Quizplus · Accepted Answer

Need to select a t distribution for α = .05 and df = 21.

Given the Following Information About a Hypothesis Test of the Difference