A Local School District Is Concerned About the Number of School

question 67

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 number 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. Test the claim that the incentive program cuts down on the number
of days missed by teachers. Assume the samples are random and dependent, and the populations are normally
distributed. Use $\alpha = 0.05 .$ $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \text { Teacher } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } & \text { H } & \text { I } & \text { J } \\\hline \begin{array} { l } \text { Days absent before } \\\text { incentive }\end{array} & 3 & 8 & 7 & 2 & 9 & 4 & 2 & 0 & 7 & 5 \\\hline\begin{array} { l } \text { Days absent after } \\\text { incentive }\end{array} & 1 & 7 & 7 & 0 & 8 & 2 & 0 & 1 & 5 & 5 \\\end{array}$$

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Definitions:

Remittance

The transfer of money by foreign workers to individuals in their home country.

Immigration

The process by which individuals move from one country to another with the intention of settling there.

Home Country

Refers to the country where a company's headquarters are located and from which it operates most directly.

Host Country

The nation that hosts foreign investors, businesses, or workers.