$99$The overall average on a process you are attempting to monitor is $50\mathrm{.}0$ units. The process population standard deviation is $1\mathrm{.}84.$ Sample size is given to be $16.$

a$)$ Determine the $3-$sigma $\stackrel{}{x}-$chart control limits$.$

Upper Control Limit $(UC{L}_{\frac{?}{\text{b}\text{a}\text{r}}()})=$ units $($round your response to two decimal places$).$