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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 $29,500 . 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? (to nearest whole number) b. What is the probability that the sample mean will be more than $29,500? (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 110? (to 4 decimals)

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There will no change in probability in part b& c.

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