Random samples of size 5, 20, and 80 are drawn from a population with mean μ = 100 and...

Random samples of size 5, 20, and 80 are drawn from a population with mean μ = 100 and standard deviation σ = 15.

a. Give the mean of the sampling distribution of for each of the sample sizes 5, 20, and 80.

b. Give the standard deviation of the sampling distribution of for each of the sample sizes 5, 20, and 80.

c. Based on the results obtained in parts (a) and (b), what do you conclude about the accuracy of using the sample mean as an estimate of population mean μ ?