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Using the Mann-Whitney-Wilcoxon Test

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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)

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)

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)

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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.