Chapter 11.2, Problem 14E

A sample of 16 items from population 1 has a sample variance $s_1^2=5.8$ and a sample of 21 items from population 2 has a sample variance $s_2^2=\mathrm{2.4.}$ Test the following hypotheses at the .05 level of significance.

$H_0:{\sigma }_1^2\le {\sigma }_2^2$

$H_{\text{a}}:{\sigma }_1^2>{\sigma }_2^2$

1. a. What is your conclusion using the p-value approach?
2. b. Repeat the test using the critical value approach.