# Sampling Distributions

**Paper , Order, or Assignment Requirements**

a. Briefly explain the meaning of a population probability distribution and a sampling distribution. Give an example of each.

b. Explain briefly the meaning of a sampling error. Give an example. Does such an error occur only in a sample survey, or can it occur in both a sample survey and a census?

c. Explain briefly the meaning of non sampling errors. Give an example. Do such errors occur only in a sample survey, or can they occur in both a sample survey and a census?

d. Consider the following population of 10 numbers.

20 25 13 19 9 15 11 7 17 30

1. Find the population mean.

2. Rich selected one sample of nine numbers from this population. The sample included the numbers 20, 25, 13, 9, 15, 11, 7, 17, and 30. Calculate the sample mean and sampling error for this sample.

3. Refer to part 2. When Rich calculated the sample mean, he mistakenly used the numbers 20, 25, 13, 9, 15, 11, 17, 17, and 30 to calculate the sample mean. Find the sampling and non sampling errors in this case.

4. List all samples of nine numbers (without replacement) that can be selected from this population. Calculate the sample mean and sampling error for each of these samples.

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