Guide to Using Minitab 14 For Basic Statistical Applications To Accompany Business Statistics: A Decision Making Approach, 8th Ed. Chapter 17: Introduction to Nonparametric Statistics By Groebner, Shannon, Fry, & Smith Prentice-Hall Publishing Company Copyright, 2011

Chapter 17 Minitab Examples Mann-Whitney Large Sample Test Mann-Whitney Large Sample TestMann-Whitney Large Sample TestMann-Whitney Large Sample Test Future-Vision Future-Vision Kruskal-Wallis Test Kruskal-Wallis Test Kruskal-Wallis Test Kruskal-Wallis Test Amalgamated Sugar

Mann-Whitney Large Sample Test - Future-Vision Issue: The managers for a local Network television affiliate are preparing for a national television advertising conference. The managers believe that the median household income for cable subscribers is less than the median for those who do not subscribe. Objective: Use Minitab to determine if the median household income for cable subscribers is less than those who do not subscribe to cable. Data file is Future-Vision-Ranks.MTW

Open file Future-Vision-Ranks.MTW Mann-Whitney Large Sample Test – Future-Vision

Select Stat – then Nonparametrics – then Mann- Whitney Mann-Whitney Large Sample Test – Future-Vision

Specify First and Second Sample Columns and use “Great than” for the alternative hypothesis. Mann-Whitney Large Sample Test – Future-Vision

Minitab Results Mann-Whitney Large Sample Test – Future-Vision

Kruskal-Wallis Test - Amalgamated Sugar Issue: The company is interested in determining whether there is a difference in down-time between its three operational shifts. Objective: Use Minitab to determine whether the relationship between the two measures is statistically significant. Data file is Amalgamated.MTW

Open File Amalgamated.MTW Kruskal-Wallis Test – Amalgamated Sugar

The data will have to be reorganized, Click on Data, then Stack and finally Columns. Kruskal-Wallis Test – Amalgamated Sugar

Define columns to be stacked into the new column and the column containing the group identifier.

The data is now arranged as needed to be analyzed. Kruskal-Wallis Test – Amalgamated Sugar

Click on Stat, then Nonparametrics and finally Kruskal-Wallis. Kruskal-Wallis Test – Amalgamated Sugar

Identify the column containing the data and the group identifier. Kruskal-Wallis Test – Amalgamated Sugar

The output gives the H Test Statistic and the p-value. Kruskal-Wallis Test – Amalgamated Sugar