A manager wants to build $3-$sigma x$-$bar control limits for a process. The target value for the mean of the process is $10$ units, and the standard deviation of the process is $6.$ If samples of size $9$ are to be taken, what will be the upper and lower control limits$,$ respectively?

Group of answer choices

$16$ and $4$

$-8$ and $28$

$12$ and $8$

$4$ and $16$

$8$ and $12$