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 = 0.01

Population statistics: σ₁ = 52 and σ₂ = 68

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