Test the claim about the difference between two population means 1 and 2 at the

Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed.

Claim: μ₁ > μ₂; α = 0.10

Population statistics: σ₁ = 40 and σ₂ = 15

Sample statistics: x̅₁ = 500, n₁ = 100 and x̅₂ = 495, n₂ = 75