To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic.
A) smaller sample
B) larger sample
C) sample variance from the population with the smaller hypothesized
D) sample variance from the population with the larger hypothesized

Question

Quizplus · Accepted Answer

The sample variance from the population with the smaller hypothesized variance should be the numerator of the test statistic to avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required. This is because the F distribution is right-skewed, and the lower tail of the distribution contains the smaller values. By placing the smaller sample variance in the numerator, the test statistic will be smaller, and the p-value will be larger, which will make it more difficult to reject the null hypothesis.

To Avoid the Problem of Having Access to Tables of the F