Big Turkey Burger Farms (BTBF) produces a large turkey burger that is world famo
ID: 351565 • Letter: B
Question
Big Turkey Burger Farms (BTBF) produces a large turkey burger that is world famous. This burger is known not only for its quality, but also its size and consistency. They produce a turkey burger that on average is 11.98 ounces large (with a standard deviation of .06 ounces). Currently, BTBF has been approached by two major restaurant chains: Monarch Burgers and Audrey’s.
a. Monarch wants a turkey burger that is between 11.83 and 12.27 ounces.
i. For this supplier, calculate the Cp. (Do not round intermediate calculations. Round your answer to 3 decimal places.)
ii. Calculate the Cpk value. (Do not round intermediate calculations. Round your answer to 3 decimal places.)
iii. How well would BTBF’s products meet the demands of Monarch Burgers?
b. Audrey’s, in contrast, wants a turkey burger that is 12.07 ounces on average with a tolerance of ± .35 ounces.
i. For this supplier, calculate the Cp. (Do not round intermediate calculations. Round your answer to 3 decimal place.)
ii. Calculate the Cpk value. (Do not round intermediate calculations. Round your answer to 3 decimal places.)
iii. How well would BTBF’s products meet the demands of Audrey’s?
Explanation / Answer
(a)
i.
USL = 12.27 ounces
LSL = 11.83 ounces
Cp = (USL - LSL) / (6) = (12.27 - 11.83) / (6*0.06) = 1.222
ii.
Cpk = Min{(USL - ) / 3, ( - LSL) / 3} = Min{(12.27 - 11.98) / 3*0.06, (11.98 - 11.83) / 3*0.06} = 0.833
iii.
Since the process mean is different from (USL+LSL)/2, the process is off-centered. So, we prefer Cpk over Cp as a relevant measure of process capability. Since Cpk is less than 1.0, we conclude that the process is not meeting desired customer requirement.
(b)
i.
USL = 12.07+0.35 = 12.42
LSL = 12.07 - 0.35 = 11.72
Cp = (USL - LSL) / (6) = (12.42 - 11.72) / (6*0.06) = 1.944
ii.
Cpk = Min{(USL - ) / 3, ( - LSL) / 3} = Min{(12.42 - 11.98) / 3*0.06, (11.98 - 11.72) / 3*0.06} = 1.444
iii.
Since the Cpk value is more than 1.33, we say that the process is capable of meeting the requirement for more than 97.3% confidence level.
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