Check Alter deducting grants based on need, the average cost to attend the University of Southern California (USC) is $25,300. Assume the population standard deviation is $8,400. Suppose that a random sample of 40 USC students will be 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 $25,300? (to 2 decimals) c. What is the probability that the sample mean will be within $1,000 of the population mean? (to 4 decimals) d. How would the probability in part (c) change if the sample size were increased to 100? (to 4 decimals)

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