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1. Let X1,..., Xn be a random sample from a normal population. A particular realization resulted in a sample mean of 20 with the sample standard deviation 4. Construct a 95% con?dence interval for μ when:

(a) n = 5, (b) n = 10, and (c) n = 25. What happens to the length of the con?dence interval as n changes?

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