A population consists of the four numbers 3, 7, 11, and 15. Consider all possible samples of size 2 that can be drawn with replacement from this population. Find (a) the population mean, (b) the population standard deviation, (c) the mean of the sampling distribution of means, and (d ) the standard deviation of the sampling distribution of means. Verify parts (c) and (d ) directly from (a) and (b) by using suitable formulas.
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