$($Type D$)$ The manager of a small convenience store does not want her customers standing in line for too long prior to purchase. In particular, she is willing to hire an employee for another cash register if the average wait time of the customers is more than $5$ minutes. She randomly observes the wait time $($in minutes$)$ for $31$ customers and calculates a mean and standard deviation of $6\mathrm{.}5$ and $2\mathrm{.}4,$ respectively. Decide whether the manager needs to hire another employee at $\backslash$alpha $=0\mathrm{.}1.$