After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $28,350. Assume the population standard deviation is$8,100. Suppose that a random sample of40USC students will be taken from this population. Usez-table.

a.What is the value of the standard error of the mean?

(to nearest whole number)

b.What is the probability that the sample mean will be more than$28,350?

(to2decimals)

c.What is the probability that the sample mean will be within$1,500of the population mean?

(to4decimals)

d.How would the probability in part (c) change if the sample size were increased to150?

(to4decimals)