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

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.