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.

Population mean tests and hypothesis tests. ... of 36 and 50 observations are drawn from two quantitative populations, 1 and 2 ... The sample data summary is shown here: ...

... Data Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 40 Sample Mean 23.75 Population Standard Deviation 2.25 Population 2 ...

... the claim that both samples are from populations having the ... 0 Level of Significance 0.01 Population 1 Sample Sample Size 40 Sample Mean 594.8 Sample...

... Size Needed 272 Sample Size Determination Data Population Standard Deviation ... 107 Confidence Interval Estimate for the Mean Data Sample Standard Deviation ...

... If a random sample of n cases is drawn from a population with mean  and standard deviation  , then the sampling distribution of the mean (the ...

... 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 ... 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 ...

... e. Should H0 be rejected? What should the researcher conclude? f. Determine the 95 % confidence interval for the population mean, based on the sample mean. ...