Test the claim about the difference between two population means 1 and 2 at the level of significance a. Assume the samples are

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 = 0.05

Population statistics: σ₁ = 0.30 and σ₂ = 0.23

Sample statistics: x̅₁ = 1.28, n₁ = 96 and x̅₂ = 1.34, n₂ = 85