Answered: A career counselor is comparing the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A career counselor is comparing the annual salary of executives in the manufacturing, finance, and
engineering industries. The following table shows the sample size for each industry and the rank sum for
the Kruskal-Wallis test.

                              Manufacturing Finance Engineering
Sample Size                     5                 6              5
Sum of Ranks                 64               53             19

a. Specify the competing hypotheses to determine whether differences exist in the median annual salary of the three industries.

b. What is the value of the Kruskal-Wallis test statistic H?

c. At the 5% significance level, what is the decision and conclusion?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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