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 28,700 . Assume the population standard deviation is 8,500. Suppose that a random sample of  50 USC students will be taken from this population. Use z-table.   What is the value of the standard error of the mean?  (to nearest whole number) What is the probability that the sample mean will be more than 28,700?  (to 2 decimals) What is the probability that the sample mean will be within 1500 of the population mean?  (to 4 decimals)

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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 28,700 . Assume the population standard deviation is 8,500. Suppose that a random sample of  50 USC students will be taken from this population. Use z-table.

 

  1. What is the value of the standard error of the mean?

 (to nearest whole number)

  1. What is the probability that the sample mean will be more than 28,700?

 (to 2 decimals)

  1. What is the probability that the sample mean will be within 1500 of the population mean?

 (to 4 decimals)

  1. How would the probability in part (c) change if the sample size were increased to 150?

 (to 4 decimals)

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