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QANT 510-part B Operations Management Mid-term -Spring-2018 4 a) At oz. sod with

ID: 348401 • Letter: Q

Question

QANT 510-part B Operations Management Mid-term -Spring-2018 4 a) At oz. sod with a m process produce no more than 3.4 defects per 1 million bottles produced. Calculate Cpk your first job out of college you have been assigned to the production of bottled 20 a. The process has upper and lower spec limits of 20.5 and 19.5 oz, respectively, ean of 19.8 oz and standard deviation of.1 oz. Your manager has requested the and th en determine if the process is capable according to the manager's standard. (5 points)

Explanation / Answer

Cpk = Min ((UCL-Mean)/(3*standard deviation), (Mean-LCL)/(3*standard deviation))

Cpk = Min ((20.5-19.8)/(3*0.1), (19.8-19.5)/(3*0.1))

Cpk = Min (2.33, 1.00)

Cpk = 1.00

For 3.4 defects per million, Cpk must be more than 1.33

Hence, process is not capable