Question: Suppose that a random sample of 16 observations is drawn from the normal distribution with mean and standard deviation 12, and that independently another

Suppose that a random sample of 16 observations is drawn from the normal distribution with mean μ and standard deviation 12, and that independently another random sample of 25 observations is drawn from the normal distribution with the same mean μ 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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