A Local School District Is Concerned About the Number of School

question 2

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

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Definitions:

Stalactites

Icicle-shaped formations that hang from the ceiling of a cave, formed by the deposition of minerals from water dripping down.

Calcium Carbonate

A chemical compound, CaCO3, found in rocks such as limestone, chalk, and marble, and is the main component of pearls and the shells of marine organisms.

Sedimentary Rock

Rock formed by the accumulation and compaction of sediment, which can include minerals, organic matter, or the remains of organisms.

Dissolution

The process by which a solid, liquid, or gas forms a solution in a solvent, often related to the disintegration of minerals in water.