An Ftest for equality of variances gives a pvalue of 003 At

An F-test for equality of variances gives a p-value of .003. At = .05, what conclusion can be made about the preferred test to compare the means for the same sample?

a. We would prefer a paired t-test for equality of means.

b. The variances have nothing to do with the t-test for equality of means.

c. We would prefer a pooled variance t-test for equality of means.

d. We would not wish to pool the variances in a t-test for equality of means.

Solution

F-test shows that p-value of the test is less than 0.05 so we reject the null hypothesis. That is we cannot assume that popualtion variances are equal. Since variances are unequal so we should not use the pooled variance. Therefore option \"We would not wish to pool the variances in a t-test for equality of means.\" is correct. That is option d is correct.