The average college graduate has a student loan debt of $23,186 (The Boston Globe, June 8 ,

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The average college graduate has a student loan debt of $23,186 (The Boston Globe, June 8 , 2010). Assume the population standard deviation is $5,000. Suppose you take a random sample of 50 college graduates.

a. What is the probability that the sample mean debt is more than $25,000?

b. What is the probability that the sample mean debt is less than $22,000?

c. What is the probability that the sample mean debt is within $2,500 of the population mean? L056

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