To test $H_0$:$=22$ versus $H_1$: a simple random sample of size $n=18$ is obtained from a population that is known to be normally distributed. Complete parts $($a$)$ through $($d$).$

$($a$)$ If $x=20\mathrm{.}6$ and $s=4\mathrm{.}2,$ compute the test statistic.

The test statistic is

$($Round to two decimal places as needed.$)$

$($b$)$ Draw a t$-$distribution with the area that represents the P$-$value shaded. Choose the correct answer.

A$.$

B$.$

c$.$

$($c$)$ Identify the P$-$value.

D$.$