Perform the Indicated Wilcoxon Test $$\alpha$$ = 005

Essay

Perform the indicated Wilcoxon test. Be sure to do the following: Identify the claim mathematically and state the null
and alternative hypotheses. Determine the critical value and find the test statistic. Decide whether to reject or fail to
reject the null hypothesis and interpret the decision in the context of the original claim.
-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 absences in one year are recorded. An incentive
program is then offered in an attempt to reduce the absences. The numbers of absences in the year after the
incentive program are recorded. The results are listed below. Use the Wilcoxon signed-rank test to test the
claim that the incentive program is effective in reducing the number of days missed by teachers. Use $$\alpha$$ = 0.05. $$\begin{array} { l l l l l l l l l l l } \hline \text { Teacher } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \begin{array} { l } \text { Days Absent } \\\text { Before Incentive }\end{array} & 8 & 4 & 7 & 3 & 10 & 5 & 2 & 8 & 3 & 7 \\\begin{array} { l } \text { Days Absent }\end{array} \\\text { After Incentive } & 6 & 3 & 7 & 1 & 9 & 3 & 0 & 9 & 1 & 7 \\\hline\end{array}$$