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Questions Exercise 07.54 Algo (Sampling Distribution of x) Question S of 5 3. Check My Work (3 remaining) 5 After deducting grants based on need, the average cost to attend the University of Southern California (USC) Is $28,975. Assume the population standard deviation is $8,100. Suppose that a random sample of 70 USC students will be taken from this population. Use z-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 $28,975? (to 2 decimals) c. What is the probability that the sample mean will be within $1,500 of the population mean? (to 4 decimals) d. How would the probability in part (c) change if the sample size were increased to 160? (to 4 decimals) Check My Work (3 remaining) Or Ican Key