A Random Sample of 10 Employees of an Engineering Company $\text { Use } \alpha = 0.05$

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. $\text { Use } \alpha = 0.05$ 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 alternative hypotheses, the test statistic, P-value or critical value(s),
conclusion about the null hypothesis, and conclusion about the claim in your answer.