Chapter 8.1, Problem 13E

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.

13. Claim: μ₁  < μ₂; α = 0.05

Population statistics: σ₁ = 75 and σ₂ = 105

Sample statistics: ${\bar{x}}_1=\text{2435}$, n₁ = 35 and ${\bar{x}}_2=2432$, n₂ = 90