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: ?_A > ?_B, $\bar { X } _ { 1 } = 12$
$\bar { X } _ { 2 } = 9$
S₁ = 4,s₂ = 2,n₁ = 13,n₂ = 10.

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: ?_A > ?_B,

\bar { X } _ { 1 } = 12

\bar { X } _ { 2 } = 9

S₁ = 4,s₂ = 2,n₁ = 13,n₂ = 10.

Quizplus · Accepted Answer

The correct rejection region is C) Reject H0 if t > 1.721. This is because the degrees of freedom for the t-test is 21 (13 + 10 - 2), and the critical value for a one-tailed test with a significance level of .05 is 1.721.

Given the Following Information About a Hypothesis Test of the Difference