A Local School District Is Concerned About the Number of School

Essay

A local school district is concerned about the number of school days missed by its teachers due to illness. A random sample of 10 teachers is selected. The numbers of days absent in one year is listed below. An incentive program is offered in an attempt to decrease the number of days absent.The number of days absent in one year after the incentive program is listed below. Use the Wilcoxon signed rank test to test the claim that the incentive program cuts down on the number of days missed by teachers. Use $\alpha = .05$ .
$\begin{array}{lcccccccccc}\hline \text { Teacher } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Days Absent } & & & & & & & & & & \\\text { Before Incentive } & 8 & 6 & 7 & 3 & 9 & 6 & 2 & 7 & 9 & 4 \\\text { Days Absent } & & & & & & & & & & \\\text { After Incentive } & 6 & 5 & 7 & 1 & 8 & 4 & 0 & 8 & 7 & 4\end{array}$