Chapter 8.1, Problem 12E

In Exercises 11–14, 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 = 0.10

Population statistics: σ₁ = 40 and σ₂? = 15

Sample statistics: ${\bar{x}}_1=\text{500}$, n₁ = 100 and ${\bar{x}}_2=495$, n₂ = 75