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

Question

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

Quizplus · Accepted Answer

The critical value for a hypothesis test of the difference between two variances based on independent random samples can be found using an F-distribution table. 
With a significance level of .05 and degrees of freedom n1-1=20-1=19 and n2-1=15-1=14 (assuming sample sizes of n1=20 and n2=15), we find the critical value to be 3.07.

Given the Following Information About a Hypothesis Test of the Difference