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According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend...

According to U.S. News & World Report's publication America's Best Colleges, the average cost to attend the University of Southern California (USC) after deducting grants based on need is 28,800. Assume the population standard deviation is 7900 . Suppose that a random sample of 70 USC students will be taken from this population.

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

b. what is the probability that the sample mean will be more than $28800

c. What  is the probability that the sample mean will be within $750 of the population mean?

d. How would the probability in part (c) change if the sample size were increased to 160?

Math   Statistics-And-Probability   
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