Lower Control Limit $($LCL$-)=\_\_\_\_\_$ units $($round your response to two decimal places$).$B$)$ Determine the $2-$sigma x $-$chart control limitsUpper Control Limit $($UCL$-)=\_\_\_\_\_$ units $($round your response to two decimal places$).$Lower Control Limit $($LCL$-)=\_\_\_\_\_$ units $($round your response to two decimal places$).$How do the control limits change?A$-$The control limits for the $2-$sigma overbar x$-$chart and for the $3-$sigma x $-$chart are the sameB$-$ The control limits are tighter for the $2-$sigma overbar x $-$chart than for the $3-$sigma x $-$chart.C$-$ The control limits are tighter for the $3-$sigma overbar x $-$chart than for the $2-$sigma x $-$chart.The overall average on a process you are attempting to monitor is $55\mathrm{.}0$ units. The process population standard deviation is $1\mathrm{.}72.$ Sample size is given to be $4.$

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

Upper Control Limit $(UC{L}_{\frac{?}{\text{b}\text{a}\text{r}}()})=57\mathrm{.}58$ units $($round your response to two decimal places$).$

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