Rosters Chicken advertises

$$

$"$lite$"$ chicken with

$$

$3$

$0$

$\%$

$$fewer calories than standard chicken. When the process for

$$

$"$lite$"$ chicken breast production is in

$$

$$control$,$ the average chicken breast contains

$$

calories

$,$

$$and the standard deviation in caloric content of the chicken breast population is

$3$

$0$

$$calories$.$

Rosters wants to design an

$$

$-$

chart to monitor the caloric content of chicken

$$

$$breasts$,$ where

$2$

$5$

$$chicken breasts would be chosen at random to form each sample.

Part

$2$

$$

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 UCLx