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.

Solution Summary

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

... Some populations are infinite ... limit theorem allow us to state the following: 1. Ninety-five percent of the sample means selected from a population will be ...

... Some populations are infinite. ... these errors are positive values, indi- cating that the sample mean overestimated the population mean; other times ...

... something other than a scale between 0 and 4. How many grade point averages must be obtained so that the sample mean is within 0.1 of the population mean? ...

... Theorem: Even if the population is not normal, sample means from the population will be approximately normal as long as the sample size is large enough "As the ...

... If the populations have the same mean, then ... between the carefully selected and population means, then we expect to find a difference between the sample means. ...

... Degrees of Freedom 8 Population 2 Sample Degrees of Freedom 8 Total Degrees of Freedom 16 Pooled Variance 5.263888889 Difference in Sample Means -1.55555556 t ...

... Details. t Test for Differences in Two Means. Data Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 12 Sample Mean 35 ...

... Some populations are infinite. ... these errors are positive values, indi- cating that the sample mean overestimated the population mean; other times ...

... The central limit theorem states that when random samples are taken from a population the sampling distribution of the sample means approaches the normal ...