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. An incentive program is offered in an attempt to reduce absences. The number of days of absence in the year before the incentive program and in the year after the incentive program are shown below for each teacher. Use the Wilcoxon signed rank test to test the claim that the incentive program is effective in reducing absences. Use $\alpha = 0.05$ $\begin{array}{c}\begin{array}{l}\hline \text { Teacher } \\\hline \text { Days Absent } \\\text { Before Incentive } \\\text { Days Absent } \\\text { After Incentive } \\\hline \end{array}\begin{array}{cccccccccc}\hline 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline\\\ 4 & 3 & 7 & 8 & 5 & 8 & 2 & 10 & 4 & 5 \\\\2 & 2 & 7 & 6 & 4 & 6 & 0 & 11 & 2 & 5\\\hline \end{array}\end{array}$