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# Sample means and population mean

1. A population consists of the following five values: 12, 12, 14, 15, and 20.
List all samples of size 3, and compute the mean of each sample.
Compute the mean of the distribution of sample means and the population mean. Compare the two values.
Compare the dispersion in the population with that of the sample means.

2. In the law firm Tybo and Associates, there are six partners. Listed below is the number of cases each associate actually tried in court last month.
Associate Number of Cases
Ruud 3
Wu 6
Sass 3
Flores 3
Wilhelms 0
Schueller 1

How many different samples of 3 are possible?
List all possible samples of size 3, and compute the mean number of cases in each sample.
Compare the mean of the distribution of sample means to the population mean.
On a chart similar to Chart 8-1, compare the dispersion in the population with that of the sample means.

**Please provide detailed explanation.

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#### Solution Summary

The solution compares the dispersion in the population with that of the sample means.

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