Chapter 10.3, Problem 14E

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.

14. Claim: ${\sigma }_1^2>{\sigma }_2^2$; a = 0.05. Sample statistics: $s_1^2$= 310, n₁ = 7 and $s_2^2$ = 297. n₂ = 8