Chapter 9.6, Problem 104LM

a.

To determine

To find: The rejection region for testing the hypothesis $H_0:{\sigma }_1{}^2={\sigma }_2{}^2$ against $H_1:{\sigma }_1{}^2>{\sigma }_2{}^2$.

b.

To determine

To find: The rejection region for testing the hypothesis $H_0:{\sigma }_1{}^2={\sigma }_2{}^2$ against $H_1:{\sigma }_1{}^2<{\sigma }_2{}^2$.

c.

To determine

To find: The rejection region for testing the hypothesis $H_0:{\sigma }_1{}^2={\sigma }_2{}^2$ against $H_1:{\sigma }_1{}^2\ne {\sigma }_2{}^2$.

d.

To determine

To find: The rejection region for testing the hypothesis $H_0:{\sigma }_1{}^2={\sigma }_2{}^2$ against $H_1:{\sigma }_1{}^2<{\sigma }_2{}^2$.

e.

To determine

To find: The rejection region for testing the hypothesis $H_0:{\sigma }_1{}^2={\sigma }_2{}^2$ against $H_1:{\sigma }_1{}^2\ne {\sigma }_2{}^2$.