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?

Question

Cade Irwin

Mathematics

3 December, 12:04

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?

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Answers (1)

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Charlie Avery · Answer 1

Lower control limit: 310

Upper control limit: 550

Step-by-step 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;