The table indicates new enrollments for unemployment benefit

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?

Solution

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.