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# Using the Mann-Whitney-Wilcoxon Test

Chapter 19
Nonparametric method
The median annual income for college graduates with a bachelor's degree is \$37,700 (the New York Times Almanac, 2006) Data (in thousands of dollars) for a sample of college graduates with a bachelor's degree working in the Chicago area are shown. Use the sample data to test H0: median ≤37.7 and Ha: median > 37.7 for the population of college graduates with a bachelor's degree working in the Chicago area. Use a .05 level of significance. What is the conclusion?

(See attached file for data)

#25
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Use the Mann-Whitney-Wilcoxon test to see whether it can be concluded that the cost of kitchen remodeling differs from the cost of master bedroom remodeling. Use a .05 of significance.

(See attached file for data)

#20
The following were collected for the Master Blend Coffee production process. The data show the filling weights based on samples of 3-pound cans of coffee. Use these data to construct the Ẋ and R charts. What conclusions can be made about the quality of the production process?

(See attached file for data)

#### Solution Summary

The solution gives detailed steps on solving a set of questions on the topic of sign test for the median, Mann-Whitney-Wilcoxon test for the rank and xbar and range charts for the process.

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