Defect rate 0.019 3.6 3.575 3.692 Sigma level Example individual calculation: Corp. defect rate = (300/30000) = 0.010. NORM.S.INV (0.9900) + 1.5 = 3.826 sigma Combined rate = = 0.0142. NORM.S.INV (0.9858) + 1.5 = 3.692 sigma 10. Expand Table 2.4 for sigma levels from 3.0 to 6.0 in increments of 0.2 on a spreadsheet. Assume a 1.5 sigma offset. Show dpmo on a chart as a function of the sigma level. Answer: We must use the relationship dpmo = (1 NORM.DIST(x,1.5,1,TRUE))*1000000, where – x is the sigma level. See spreadsheet Ch02-Solutions. We get: Sigma Sigma Level Level 3.0 4.6 3.2 4.8 3.4 5.0 5.2 4.4 8 3.8 5.4 48.1 4.0 5.6 20.7 4.2 5.8 8.5 6.0 3.4 11. Verasource Microprocessor Corporation (VMC) sells 2000 specialized computer processing chips each month at a price of $1,500 each. Variable costs amount to $1,500,000, and fixed costs are $500,000. Currently the company has a defect rate of percent (which are chips returned by customers, scrapped by VMC, and replaced). Note that the variable costs include the cost of producing the defective chips.
Defect rate 0.019 Sigma level 3.575 3.692 Example individual calculation: Corp. defect rate = (300/30000) = 0.010. NORM.S.INV (0.9900) + 1.5 = 3.826 sigma Combined rate = = 0.0142. NORM.S.INV (0.9858) + 1.5 = 3.692 sigma 10. Expand Table 2.4 for sigma levels from 3.0 to 6.0 in increments of 0.2 on a spreadsheet. Assume a 1.5 sigma offset. Show dpmo on a chart as a function of the sigma level. Answer: We must use the relationship dpmo = (1 – NORM.DIST(x,1.5,1,TRUE))*1000000, where x is the sigma level. See spreadsheet Ch02-Solutions. We get: Sigma Level Sigma Level 3.0 4.6 3.2 4.8 3.4 5.0 3.6 5.2 3.8 5.4 48.1 4.0 5.6 20.7 4.2 5.8 8.5 4.4 6.0 3.4 11. Verasource Microprocessor Corporation (VMC) sells 2000 specialized computer processing chips each month at a price of $1,500 each. Variable costs amount to $1,500,000, and fixed costs are $500,000. Currently the company has a defect rate of 8 percent (which are chips returned by customers, scrapped by VMC, and replaced). Note that the variable costs include the cost of producing the defective chips.
Solution-Manual-for-An-Introduction-to-Six-Sigma-and-Process-Improvement-2nd-Edition-by-Evans.docx