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 = 0.03

Population statistics: σ₁ = 136 and σ₂ = 215

Sample statistics: x̅₁ = 5004, n₁ = 144 and x̅₂ = 4895, n₂ = 156