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Lecture_11_30

Lecture_11_30 - Lecture of Nov 30 HW#11 due today No Lab...

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1 Lecture of Nov 30 Lecture of Nov 30 HW#11 due today. No Lab tomorrow.

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2 Six Sigma Still Pays Off At Motorola An article in the most recent issue of magazine. BusinessWeek To see the whole article, visit http://www.businessweek.com/magazine/content/06_49/b4012069.htm " It's [ six-sigma ] still paying off for Motorola Inc., too. . .. the Schaumburg (Ill.) company has climbed from a 15.4% market share in mobile phones to 22.4% over the past two years. Motorola netted \$4.6 billion on \$36.8 billion in revenues last year. ... About 35 % of U.S. companies have a Six Sigma program in place. "
3 c c - - chart and chart and u u - - chart chart • The attributes we are interested in: - # of defective items in samples of size n items (follow a Binomial distribution); - Chart No. 4-5 in the control chart table . - # of defects (or also called # of nonconformities) in samples of size n inspection units (follow a Poisson distribution). - Chart No. 6-7 in the control chart table .

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4 1 General Control Chart Model (for charting statistic w, with L-sigma control limits): Distribution Parameters Known Distribution Parameters Unknown UCL = µ w + L σ w UCL = µ ˆ w + L σ ˆ w CL = µ w CL = µ ˆ w LCL = µ w – L σ w LCL = µ ˆ w – L σ ˆ w D = # defective items in sample of size n items x = # defects in one sample (one sample equals one inspection unit for c-charts and n inspection units for u-charts) General formulae for alpha and beta error, given LCL and UCL (use w and appropriate distribution from above table): α = P{w > UCL or w < LCL | in-control distribution parameter} = 1 – P{w UCL | in-control distribution parameter} + P{w < LCL | in-control distribution parameter} β = P{LCL w UCL | out-of-control distribution parameter}
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Lecture_11_30 - Lecture of Nov 30 HW#11 due today No Lab...

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