Chapter 8.2, Problem 9E

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.

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

Sample statistics: ${\bar{x}}_1=33.7$, s₁ = 3.5, n₁ = 12 and

${\bar{x}}_2=35.5$, s₂ = 2.2. n₂ = 17