Chapter 8.6, Problem 8.77LM

Specify the appropriate rejection region for testing $H_{\text{0}}:{\sigma }_1^2={\sigma }_2^2$ in each of the following situations:

1. a. $H_{\text{a}}:{\sigma }_1^2>{\sigma }_2^2$; α = .05, n₁ = 25, n₂ = 20
2. b. $H_{\text{a}}:{\sigma }_1^2<{\sigma }_2^2$; α = .05, n₁ = 10, n₂ = 15
3. c. $H_{\text{a}}:{\sigma }_1^2\ne {\sigma }_2^2$; α = .10, n₁ = 21, n₂ = 31
4. d. $H_{\text{a}}:{\sigma }_1^2<{\sigma }_2^2$; α = .01, n₁ = 31, n₂ = 41
5. e. $H_{\text{a}}:{\sigma }_1^2\ne {\sigma }_2^2$; α = .05, n₁ = 7, n₂ = 16