$\frac{3}{4}\frac{?}{24},6$:$36PM$

$4.$ Rosters Chicken advertises "lite" chicken with $30\%$ fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains $450$ calories, and the standard deviation in caloric content of the chicken breast population is $25$ calories.

Rosters wants to design an $\stackrel{}{x}-$chart to monitor the caloric content of chicken breasts, where $25$ chicken breasts would be chosen at random to form each sample.

a$)$ What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target?

Upper Control Limit $(UC{L}_{\frac{?}{\text{b}\text{a}\text{r}}()})=$ calories $($enter your response as an integer$).$

Lower Control Limit $(LC{L}_{\frac{?}{\text{b}\text{a}\text{r}}()})=$ calories $($enter your response as an integer$).$

b$)$ What are the limits with three standard deviations from the target?

Upper Control Limit $(UC{L}_{{}^{}})=$ calories $($enter your response as an integer$).$

Lower Control Limit $(LC{L}_{\stackrel{}{x}})=$ calories $($enter your response as an integer$).$