(Solution) - Independent random samples of size n1 n2 100 -(2025 Original AI-Free Solution)

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Independent random samples of size n1 = n2 = 100 were selected from each of two populations. The mean and standard deviations for the two samples were 1 = 125.2, 2 = 123.7, s1 = 5.6, and s2 = 6.8.
a. Construct a 99% confidence interval for estimating the difference in the two population means.
b. Does the confidence interval in part a. provide sufficient evidence to conclude that there is a difference in the two population means? Explain.