Textbook Problem

Consider the following hypothesis test.

$\begin{array}{l}{H}_0:{\sigma }_1^2={\sigma }_2^2\\ H_{\text{a}}:{\sigma }_1^2\ne {\sigma }_2^2\end{array}$

1. a. What is your conclusion if n₁ = 21, $s_1^2=8.2$, n₂ = 26, and $s_2^2=4.0$? Use α = .05 and the p-value approach.
2. b. Repeat the test using the critical value approach.