Chapter 10.3, Problem 18E

In Exercises 13−18, test the claim about the difference between two population variances ${\sigma }_1^2$ and ${\sigma }_2^2$ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed.

18. Claim: ${\sigma }_1^2>{\sigma }_2^2$; a = 0.05. Sample statistics: $s_1^2$ = 44.6, n₁ = 16 and $s_2^2$ = 39.3. n₂ = 12