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…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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