Solved: A random sample of size n1 = 25, taken from a

Chapter 1, Problem 9.35

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A random sample of size \(n_1 = 25\), taken from a normal population with a standard deviation \(\sigma_1 = 5\), has a mean \(\overline{x}_1 = 80\). A second random sample of size \(n_2 = 36\), taken from a different normal population with a standard deviation \(\sigma_2 = 3\), has a mean \(\overline{x}_2 = 75\). Find a 94% confidence interval for \(\mu_1 − \mu_2\).

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