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

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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
  1. 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.
  2. What is the value of the Wilcoxon rank-sum test statistic W?
  3. Assuming W follows a normal distribution, what is the value of the corresponding test statistic?
  4. At the 1% significance level, what is the decision and conclusion?

 

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