# Sampling Distribution of the Mean - Library

A library checks out an average of 250 books per day, with a standard deviation of 75 books. If a sample of 36 days of operation is selected and the sample mean is computed,

a. What is the expected value of the sample mean?

b. What is the value for the standard error of the mean?

c. What is the probability that the sample mean for the 36 days will be within 220 and 260 books?

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#### Solution Preview

A library checks out an average of 250 books per day, with a standard deviation of 75 books. If a sample of 36 days of operation is selected and the sample mean is computed.

a) What is the expected value of the sample mean?

Expected value = M = Sample Mean=X bar= 250 books ...

#### Solution Summary

This solution calculates expected value of the sample mean, standard error of the mean, and the probability of the mean being between certain values. Solutions are brief and concise and also supplied in Excel.