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. Assume σ¹₂ ≠ σ²₂

Sample statistics: x̅₁ = 52, s₁ = 4.8, n₁ = 32 and

x₂ = 50, s₂ = 1.2, n₂ = 40