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

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

b. What is the value for the standard errorof the mean?

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

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 …

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.