Chapter 8.2, Problem 12E

In Exercises 9–12, test the claim about the difference between two population means μ₁ and μ₂ at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed.

12. Claim: μ₁ > μ₂; α = 0.01, Assume ${\sigma }_1^2\ne {\sigma }_2^2$

Sample statistics: ${\bar{x}}_1=52$, s₁ = 4.8, n₁ = 32 and

${\bar{x}}_2=50$, s₂ = 1.2, n₂ = 40