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Suppose you're in a class of 30 students. The instructor takes a simple random s...

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Suppose you're in a class of 30 students. The instructor takes a simple random sample of five students and observes their ages. Imagine all of the different samples possible (there are 142,506 such samples possible!). Let

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denote the average age in your sample. The distribution of all values taken by
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in all possible samples of five students selected from the 30 students in your class is

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