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Key_Assignment 1-spr2012

# Key_Assignment 1-spr2012 - MGMT 405 Six Sigma Quality...

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Unformatted text preview: MGMT 405: Six Sigma Quality Management Assignment 1 Solution 1. a. (i) X is Normal ( 1.5 μ σ + , σ ) USL = 5.5 μ σ + , LSL = 5.5 μ σ- P (X>USL) = P (Z>4) = .000032 P (X<LSL) = P (Z<-7) = 0 DPM = 32 (ii) X is Normal ( 1 μ σ + , σ ) USL = 3.5 μ σ + , LSL = 3.5 μ σ- P (X>USL) = P (Z>2.5) = .006210 P (X<LSL) = P (Z<-4.5) = .0000034 DPM = 6213.4 b. 2. a. Characteristic D U OP TOP DPU DPO DPM O A 56 300 88 26400 0.186 7 0.002121 2121 B 44 350 75 26250 0.1257 0.00167 6 1676 C 30 55 32 1760 0.5455 0.017045 17045 D 83 50 60 3000 1.660 0.027667 27667 E 95 630 70 4410 0.1508 0.002154 2154 F 53 800 40 32000 0.066 3 0.001656 1656 52319 b. D C E A B F 27667 17045 2154 2121 1676 1656 52.9 32.6 4.1 4.1 3.2 3.2 52.9 85.5 89.6 93.6 96.8 100.0 10000 20000 30000 40000 50000 20 40 60 80 100 Defect Count Percent Cum % Percent Count Pareto Chart for C1 2 c. Characteristics D and C require special attention as these two together accounts for the 85.5% of the defects....
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Key_Assignment 1-spr2012 - MGMT 405 Six Sigma Quality...

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