An F-test for equality of variances gives a p-value of .003.At $\alpha$ = .05,what conclusion can be made about the preferred test to compare the means for the same sample?
A) We would prefer a pooled variance t-test for equality of means.
B) We would not wish to pool the variances in a t-test for equality of means.
C) We would prefer a paired t-test for equality of means.
D) The variances have nothing to do with the t-test for equality of means.

Question

Quizplus · Accepted Answer

A low p-value from an F-test for equality of variances implies that the assumption of equal variances may be violated, so it would not be appropriate to pool the variances in a t-test for equality of means. Therefore, we would not choose a pooled variance t-test, and options A and C can be ruled out. D is incorrect because the variances do have an impact on the t-test for equality of means, as the calculation of the test statistic involves dividing the difference in means by the standard error, which depends on the variances of the two groups.

An F-Test for Equality of Variances Gives a P-Value of .003.At