A Local School District Is Concerned About the Number of School

question 21

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 α = .05. Days Absent $$\begin{array} { l l l l l l l l l l l } \hline \text { Teacher } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \begin{array} { l } \text { Days Absent } \\\text { Before Incentive }\end{array} & 3 & 4 & 7 & 6 & 5 & 6 & 2 & 3 & 5 & 9 \\\begin{array} { l } \text { Days Absent } \\\text { After Incentive }\end{array} & 1 & 3 & 7 & 4 & 4 & 4 & 0 & 4 & 3 & 9 \\\hline\end{array}$$

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Definitions:

REM Rebound

The phenomenon where an individual experiences increased REM sleep following REM sleep deprivation, often resulting in more vivid dreams.

Narcolepsy

An incurable sleep disorder characterized by excessive daytime sleepiness and uncontrollable attacks of REM sleep.

Night Terrors

A sleep disorder causing feelings of terror or dread, and typically occurs during NREM sleep, often leading to loud screams and physical movement.

NREM Stage 4 Sleep

The deepest phase of non-rapid eye movement sleep, characterized by slow brain waves and limited physiological activity, essential for physical restoration.