The effectiveness of a new bug repellent is tested on $14$ subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of surface area exposed protected from bites was calculated for each of the subjects. The results were as follows:

$\overline{x} = 94$, $\ s = 7$

The new repellent is considered effective if it provides a percent repellency of at least $91$. Using $\alpha = 0.05$, construct a hypothesis test with null hypothesis $\mu = 91$ and alternative hypothesis $\mu>91$ to determine whether the mean repellency of the new bug repellent is greater than $91$ by computing the following:

(a) $\ $ the degree of freedom $\ $

(b) $\ $ the critical $t$ value $\ $

(c) $\ $ the test statistics $\ $

The final conclusion is

A. We can reject the null hypothesis that $\mu = 91$. Our results indicate that the new bug repellent is effective.
B. There is not sufficient evidence to reject the null hypothesis that $\mu = 91$. Our results do not provide enough evidence that the new bug repellent is effective.