27 Suppose a random sample of n measurements is selected from a population with mean m = 100 and variance s2 = 100. For each of the following values of n , give the mean and standard deviation of the sampling distribution of the sample mean x.

a. n = 4

b. n = 25

c. n = 100

d. n = 50

e. n = 500

f. n = 1 ,000