A manager wants to determine if there is a difference in the total amount of time spent workers between workers taking an work from home (WFH) and a work from office (WFO) version of a certain duties. The following table contains the sample sizes of each group, and the rank sums for the Wilcoxon rank-sum test. WFHWFOSample Size1012Sums of Ranks94.5158.5Specify the competing hypothesis to determine whether the median working time for work from home (WFH) workers differs from the median study time for work from office (WFO) workers.What is the value of the Wilcoxon rank-sum test statistic W?Assuming W follows a normal distribution, what is the value of the corresponding test statistic?At the 1% significance level, what is the decision and conclusion?

(1) Let M1 denote the median working time for work from home (WFH) workers. Let M2 the median study…

Answered: A manager wants to determine if there…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A manager wants to determine if there is a difference in the total amount of time spent workers between workers taking an work from home (WFH) and a work from office (WFO) version of a certain duties. The following table contains the sample sizes of each group, and the rank sums for the Wilcoxon rank-sum test.

	WFH	WFO
Sample Size	10	12
Sums of Ranks	94.5	158.5

Specify the competing hypothesis to determine whether the median working time for work from home (WFH) workers differs from the median study time for work from office (WFO) workers.
What is the value of the Wilcoxon rank-sum test statistic W?
Assuming W follows a normal distribution, what is the value of the corresponding test statistic?
At the 1% 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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