In performing a one-tailed test for the difference between two population variances, which of the following statements is true?
A) The level of alpha needs to be doubled before finding the F-critical value in the table.
B) The sample variance that is predicted to be larger in the alternative hypothesis goes in the numerator when forming the F-test statistic.
C) You always place the larger of the two sample variances in the numerator.
D) The alternative hypothesis must contain the equality.

Question

Quizplus · Accepted Answer

In a one-tailed test for the difference between two population variances, the sample variance that is predicted to be larger according to the alternative hypothesis is placed in the numerator when calculating the F-test statistic. This ensures that the test statistic correctly reflects the direction of the difference specified by the alternative hypothesis.

In Performing a One-Tailed Test for the Difference Between Two