Click here to view the t$-$Distribution Area in Right Tail.

$($a$)$ If $\stackrel{}{x}=47\mathrm{.}8$ and $s=10\mathrm{.}5,$ compute the test statistic.

$t_0=,($Round to three decimal places as needed.$)$

$($b$)$ If the researcher decides to test this hypothesis at the $=0\mathrm{.}1$ level of significance, determine the critical value$($s$).$

Although technology or a t$-$distribution table can be used to find the critical value, in this problem use the t$-$distribution table

given.

Critical Value:

$($Round to three decimal places. Use a comma to separate answers as needed.$)$

$($c$)$ Draw a t$-$distribution that depicts the critical region. Choose the correct answer below.

A$.$

B$.$

$2$

$($d$)$ Will the researcher reject the null hypothesis?

A$.$ Yes, because the test statistic does not fall in the critical region.

B$.$ No$,$ because the test statistic does not fall in the critical region.

C$.$ No$,$ because the test statistic falls in the critical region.

D$.$ Yes, because the test statistic falls in the critical region.

C$.$