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A Local School District Is Concerned About the Number of School

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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 α = .05. Days Absent  Teacher 12345678910 Days Absent  Before Incentive 3476562359 Days Absent  After Incentive 1374440439\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} & 3 & 4 & 7 & 6 & 5 & 6 & 2 & 3 & 5 & 9 \\\begin{array} { l } \text { Days Absent } \\\text { After Incentive }\end{array} & 1 & 3 & 7 & 4 & 4 & 4 & 0 & 4 & 3 & 9 \\\hline\end{array}


Definitions:

Goal-Setting Theory

A motivational theory that emphasizes the significance of setting specific, measurable, achievable, relevant, and time-bound goals to improve performance.

Indirect Effects

The impact of one variable on another mediated through one or more intervening variables, rather than a direct cause-and-effect relationship.

Mortgage

A loan specifically for purchasing real estate, in which the property itself serves as collateral against the debt.

Extra Money

Refers to additional income or funds received beyond regular earnings, which could come from bonuses, side jobs, or investments.

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