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.

... the population mean. We would recommend the insurance agency to re-estimate the annual cost by taking a larger (than 45) sample. Populations and standard means...

... of the standard deviation 2) What is the probablity that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean? ...

Small sample hypothesis test for a population mean explained in this answer. ... Solution: This is an example of a hypothesis test for a population mean. ...

... Finite Populations Population Size 10000 FPC Factor 0.984935028 ... 0.054245831 Confidence Interval Estimate for the Mean. Data Sample Size 300 Number of Successes ...

... the mean of sample means and standard deviation is the standard error of the mean b. Expected value of the population mean is the mean of sample means c. The ...

... Data Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 77 Sample Mean 10.36 Population Standard Deviation 15.79 Population 2 ...