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 $s_1^2=2.4$. Test the following hypotheses at the .05 level of significance.

$\begin{array}{l}{H}_0:{\sigma }_1^2\le {\sigma }_2^2\\ H_4:{\sigma }_1^2\le {\sigma }_2^2\end{array}$

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