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 420...

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 420 calories, and the standard deviation in caloric
content of the chicken breast population is 25 calories.

Rosters wants to design an x -chart to monitor the caloric con-
tent 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?
b) What are the limits with three standard deviations from the
target?