Consider testing the hypothesis using samples of respective sizes 6 and 11. Note that we could represent this hypothesis as .

The samples yield s2 1  42.2 and s2 2  1.1. It hardly seems worth the time to conduct this test since the test statistic will obviously be very large, leading us to reject the null hypothesis. However, we might wish to test a hypothesis such as . The test is conducted exactly the same way as the F-test of this chapter except that you use the test statistic

, where k  10 for this hypothesis.

Conduct the indicated test using a significance level of 0.05.