Test Hypotheses About a Population Mean with Known Using P-Values $\alpha = 0.05$

Test Hypotheses about a Population Mean with Known Using P-values
-A local company claims that the number of days missed by its employees due to illness is below the national average of 5 . A random sample of 40 employees provided the data below. At $\alpha = 0.05$ , test the company's claim using $\mathrm { P }$ -values.
$\begin{array} { c c c c c c c c c c } 0 & 3 & 6 & 3 & 3 & 5 & 4 & 1 & 3 & 5 \\ 7 & 3 & 1 & 2 & 3 & 3 & 2 & 4 & 1 & 6 \\ 2 & 5 & 2 & 8 & 3 & 1 & 2 & 5 & 4 & 1 \\ 1 & 1 & 2 & 1 & 5 & 7 & 5 & 4 & 9 & 3 \end{array}$