After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $28,875. Assume the population standard deviation is $7,300. Suppose that a | random sample of 60 USC students will be taken from this population. Use z-table. a. What is the value of the standard error of the mean? 7 955 Q (to nearest whole number) b. What is the probability that the sample mean will be more than $28,875? 3 _ 65 @ (to 2 decimals) . What is the probability that the sample mean will be within $750 of the population mean? 93'_038 o(to 4 decimals) d. How would the probability in part (c) change if the sample size were increased to 180? _0_87:15 0 (to 4 decimals)