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chapter 10 solutions - CHAPTER 10 Principles of Six Sigma...

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CHAPTER 10 Principles of Six Sigma SOLUTIONS TO PROBLEMS 1. During one month, 35 preflight inspections were performed on an airplane at Southstar Airlines. Eighteen nonconformances were noted. Each inspection checks 60 items. What sigma level does Southstar maintain if this incidence of nonconformance is typical of their entire fleet of airplanes? ANS. To calculate the dpmo, we use 18/35 to get the number of defects per unit (DPU’s). However, 60 opportunities per aircraft checked must be taken into consideration, as shown, in order to calculate dpmo. dpmo = (18/35) X 1,000,000/60 = 8571.4, which is less than 4 sigma with off centering of 1.5 sigma. 2. Wellfix Insurance Company set a standard that policy applications should be processed within three days of receipt. If, out of a sample of 1,000 applications, 65 fail to meet this requirement, at what sigma level is this process operating? ANS. The defect rate is 65/1000 = 0.065. This is the same as: 0.065 X 1,000,000 = 65,000 dpmo. From Table 10.1, we see that this is slightly better than 3 sigma with off centering of 1.5 sigma.
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