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.

... x. b) Find the probability that ¯x exceeds 110 c) Find the probability that the sample mean deviates from the population mean μ = 106 by no more than 4. ...

... method to compare the means of 3 or more populations? ... compare all of the possible pairs of population means to see ... When you have one sample or two samples, we ...

... of error; confidence level, and population standard deviation σ to find the minimum sample size required to estimate an unknown population mean μ. ...

... 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 ...

... involve comparisons of two different population means. ... In the first, the two samples are independent men ... should think of independence as meaning that there ...

... the distance between the sample mean and the population mean the distance between the sample mean and the variance the z score the sample size. ...

... m 1 and m 2 are the true mean durations for ... Since the sample sizes for the study are small (n1 ... assumptions are required: 1. The populations have approximately ...

... 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 ...

... (2 points). Rule 68%. The confidence interval for 68% surely that the population mean lie in the interval data is +/- 1 standard error from sample mean. ...