Question: Claim: 1 = 2 ; = 0.01. Assume 1 2 = 2 2 . Sample statistics: x 1 = 33.7,

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

Sample statistics: x̅₁ = 33.7, s₁ = 3.5, n₁ = 12 and

x̅₂ = 35.5, s₂ = 2.2, n₂ = 17

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.

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