Question

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 430 ​calories, and the standard deviation in caloric content of the chicken breast population is 30 calories. Rosters wants to design an x overbar​-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?

Answer 1

Lower control limit: 310

Upper control limit: 550

Explanation:

The problem states that the average chicken breast contains 430 ​calories, and the standard deviation in caloric content of the chicken breast population is 30 calories.

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?

The lower control limit is the mean subtracted by four standard deviations. So 430 - 4*30 = 310;

The upper control limit is the mean added four standard deviations. So 430 + 4*30 = 550;