Suppose that a random sample of 16 observations is drawn

Chapter 5, Problem 8

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Suppose that a random sample of 16 observations is drawn from the normal distribution with mean and standard deviation 12, and that independently another random sample of 25 observations is drawn from the normal distribution with the same mean and standard deviation 20. Let X and Y denote the sample means of the two samples. Evaluate Pr(|X Y | < 5)

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