Consider the following population of six numbers.

1 51 38 1 79 1 2

a. Find the population mean.

b. Liza selected one sample of four numbers from this population. The sample included the numbers 13, 8, 9, and 12. Calculate the sample mean and sampling error for this sample.

c. Refer to part b. When Liza calculated the sample mean, she mistakenly used the numbers 13, 8, 6, and 12 to calculate the sample mean. Find the sampling and nonsampling errors in this case.

d. List all samples of four 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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