# Question

Random samples of size 5, 20, and 80 are drawn from a population with a mean of μ = 100 and a standard deviation of σ = 15.
a. Give the mean of the sampling distribution of y for each of the three sample sizes.
b. Give the standard deviation of the sampling distribution of y for each of the three sample sizes.
c. Based on the results obtained in parts (a) and (b), what do you conclude about the accuracy of using the sample mean y as an estimate of population mean μ?

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