The F test used for testing the difference in two population variances is always a one-tail test.

Question

Quizplus · Accepted Answer

The F test for testing the difference in two population variances can be a two-tail test if the alternative hypothesis is two-sided. In a one-tail test, the alternative hypothesis is that one variance is greater than the other, while in a two-tail test, the alternative hypothesis is that the variances are not equal. The F test used for testing the difference in two population variances is a two-tail test. This is because the null hypothesis states that the variances are equal, and the alternative hypothesis can be that they are different in either direction (i.e. one variance is larger than the other or one variance is smaller than the other). Therefore, the F test is used to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis in either direction.

The F Test Used for Testing the Difference in Two