(Solution) - Claim 1 2 0 01 Assume 12 -(2025 Original AI-Free Solution)

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Claim: ?1 = ?2; ? = 0.01. Assume ?12 = ?22.
Sample statistics: 1 = 33.7, s1 = 3.5, n1 = 12 and
2 = 35.5, s2 = 2.2, n2 = 17
Test the claim about the difference between two population means ?1 and ?2 at the level of significance ?. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.