Claim: 1 > 2 ; = 0.10. Population statistics: 1 = 40 and

Claim: μ₁ > μ₂; α = 0.10.

Population statistics: σ₁ = 40 and σ₂ = 15

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

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. If convenient, use technology.