According to the College Board’s report, the average tuition and fees at four year private colleges and universities in the United States was $18,273 for the academic year 2002 – 2003 and the standard deviationwas $2100. For a random sampleof 100 four year private U.S. colleges, answer the following:

a. What is the meanof the samplingdistribution?

b. What is the standard deviation of the sampling distribution?

c. What is the probabilitythat the mean tuition and fees of the sample is greater than $20,000?

d. What is the probability that the mean tuition and fees of the sample is less than $16,000?

e. What is the probability that the mean tuition and fees of the sample is within $550 of the population mean?