Claim: 1 = 2 ; = 0.01. Population statistics: 1 = 52 and

Claim: μ₁ = μ₂; α = 0.01.

Population statistics: σ₁ = 52 and σ₂ = 68

Sample statistics: x̅₁ = 5595, n₁ = 156 and x̅₂ = 5575, n₂ = 216

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.