Question: Suppose a professor gave an 8-point quiz to a small class or a finite population of four Students. The results of the quiz were 2, 4, 6, and 8.

a.) Find the population mean, \(\mu\)

b.) Find the population standard deviation, \(\sigma\)

c.) Draw 16 samples, each of size 2 , with replacement from the finite population

d.) Find the mean of each sample in part c

e.) Find the mean of the sample means, \(\mu_{\bar x}\)

f.) Compare \(\mu\) and \(\mu_{\bar x}\)

g.) Construct the sampling distribution of the sample means

h.) Construct the Histogram of the Sampling Distribution of sample means.

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