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 = 0.10. Assume σ¹₂ = σ²₂

Sample statistics: x̅₁ = 0.345, s₁ = 0.305, n₁ = 11 and

x₂ = 0.515, s₂ = 0.215, n₂ = 9