# Question

The file P07_14.xlsx contains a very small population of only five members. For each member, the height of the person is listed. The purpose of this problem is to let you see exactly what a sampling distribution is. Find the exact sampling distribution of the sample mean with sample size 3. Verify that Equation (7.1) holds, that is, the mean of this sampling distribution is equal to the population mean. Also, verify that Equation (7.2) holds, that is, the standard deviation of this sampling distribution is equal to the population standard deviation divided by the square root of 3.

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