$2\mathrm{.}29/4$ Points$]$

Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is $=120\mathrm{.}5$ and the standard deviation is $=0\mathrm{.}5.$

$($a$)$ Compute the upper and lower control limits if samples of size $6$ are to be used. $($Round your answers to two decimal places.$)$

UCL$=$

$LCL=$

$$

$$

Construct the $\stackrel{}{x}$ chart for this process