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Lostsunrise [7]
3 years ago
5

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 400 ​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? Upper Control Limit ​(UCL Subscript x overbar​)equals nothing calories ​(enter your response as an​ integer).
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

UCL (x bar) =  424

LCL (x bar) =  376

Step-by-step explanation:

Given:

Average calories contained, μ = 400

Standard deviation, σ  = 30 calories

Sample size, n = 25

a) UCL (x bar) = \mu+\frac{4\sigma}{\sqrt{n}}

On substituting the respective values, we get

UCL (x bar) = 400+\frac{4\times30}{\sqrt{25}}

or

UCL (x bar) =  424

Similarly,

LCL (x bar) =  \mu-\frac{4\sigma}{\sqrt{n}}

On substituting the respective values, we get

LCL (x bar) = 400-\frac{4\times30}{\sqrt{25}}

or

LCL (x bar) =  376

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