The sign test by using Statlets.The signed rank test by using Statlets.Wilcoxon rank sum test by using Statlets.

ACTIVITY

Suppose the police commissioner in a small town must chose between two plans for patrolling the twon's streets. Plan A, the less expensive plan, uses voluntary citizen groups to patrol certain high-risk neighborhoods. In contrast, plan B would utilize police patrols. Both plans are examined by 10 trained criminologists, each of whom is asked to rate the plans on a scale from 1 to 10. (High ratings imply a more effective crime prevention plan.) The city will adopt plan B (and hire extra police) only if the data provide sufficient evidence that criminologists tend to rate plan B more effective than plan A.

The results of the survey are shown below:

Expert
Plan A
Plan B
1
7
9
2
4
5
3
8
8
4
9
8
5
3
6
6
6
10
7
8
9
8
10
8
9
9
4
10
5
9

By using the following steps and the Statlets window provided at the end of this page test the hypothesis that plan B ratings exceed those of plan A.

Interpret the output and state your conclusion.