The table indicates new enrollments for unemployment benefits at two community c

Question

The table indicates new enrollments for unemployment benefits at two community centers. Community center A has been open for several years and is recognized as a local institution whereas Community center B just recently opened.

A: 162,222,242,252,258,259,260,262,-738

B:0,2,3,4,10,20,40,100,1000

a. Describe when to use the Sign test, the Wilcoxon rank-sum test and Wilcoxon signed-rank test. Which test is best suited for this problem?

b. It is postulated that the means from the two center are the same. What do you conclude?

Explanation / Answer

A.The Wilcoxon signed-rank test is used when comparing two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ. This is a non parametric test.

Where as one should use Wilcoxon rank-sum test when the data are not paired.

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