Claim: 1 2 ; = 0.01. Assume 1 2 = 2

Claim: μ₁ ≠ μ₂; α = 0.01. Assume σ₁² = σ₂².

Sample statistics: x̅₁ = 61, s₁ = 3.3, n₁ = 5 and

x̅₂ = 55, s₂ = 1.2, n₂ = 7

Test the claim about the difference between two population means μ₁ and μ₂ at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.