A Random Sample of 10 Employees of an Engineering Company $\alpha = 0.05$

question 46

Essay

A random sample of 10 employees of an engineering company was selected. Each employee was asked to report the number of sick days he/she claimed on Wednesdays and Fridays of the previous calendar year. Use this information to test the employer's claim that more employees call in sick on Fridays than on Wednesdays. Use $\alpha = 0.05$ . Assume that the differences between Wednesday's and Friday's sick day counts is normally distributed.
$\begin{array}{|c|c|}\hline \text { Wednesdays } & \text { Fridays } \\\hline 1 & 2 \\\hline 1 & 3 \\\hline 0 & 1 \\\hline 2 & 1 \\\hline 1 & 6 \\\hline 3 & 2 \\\hline 0 & 4 \\\hline 1 & 0 \\\hline 4 & 5 \\\hline 2 & 2 \\\hline\end{array}$

Include your null and altemative hypotheses, the test statistic, $P$ -value or critical value(s), conclusion about the null hypothesis, and conclusion about the claim in your answer.

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Definitions:

Dentin

The hard but porous tissue located below the enamel and cementum of the teeth, which surrounds the core of dental pulp.

Crown

The visible part of a tooth above the gum line, or a type of dental restoration that fully covers or "caps" a damaged tooth.

Peristalsis

The involuntary contractions and relaxations of muscles in the digestive tract that move food along the digestive process.

Intravenous Nourishment

The delivery of nutrition directly into the bloodstream, bypassing the digestive system, often used for patients who cannot eat normally.