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Independent random samples were selected from each of two normally distributed populations, n = 25 from population 1 and n = 11 from population 2. The means and variances for the two samples are shown in the table to the right.

 

a. Test the null hypothesis Ho :sigma1^2 = sigma2^2 against the alternative hypothesis 
Ha: sigma1^2 != sigma2^2. use alpha = 0.10. 

a. The test statistic is F= 
b. The critical value is ?

Is there sufficient evidence to reject the null hypothesis?

A. Reject Ho. There is sufficient evidence to indicate a difference between the population variances.
B. Do not reject Ho. There is insufficient evidence to indicate a difference between the population variances. 
C. Do not reject Ho. There is sufficient evidence to indicate a difference between the population variances.
D. Reject Ho. There is insufficient evidence to indicate a difference between the population variances.

b. Find and interpret the approximate p-value of the test.