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 variances based on independent random samples,what is the critical value of the test statistic at a significance level of .05? Assume that the samples are obtained from normally distributed populations. $H _ { A } : \sigma ^ { 2 } A > \sigma ^ { 2 } B , \bar { X } _ { 1 } = 12 , \bar { X } _ { 2 } = 9 , s _ { 1 } = 5 , s _ { 2 } = 3 , n _ { 1 } = 13 , n _ { 2 } = 10$

A) 3.87
B) 3.44
C) 3.07
D) 2.8
E) 2.38