Given the Following Information About a Hypothesis Test of the Difference

Multiple Choice

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.

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