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GEAppliancesCopyright1999CTQCTQGEAppliancesCopyright1999CTQ66GEAppliancesCopyright1999DMAICzzzzzzDMADVzzzzzzzNPI5W’s/H–5W’s/H–GEAppliancesCopyright199911ASIPhoenixNorfolkMemphisYZ1.55Z2.2548,400PPM,80%GEAppliancesCopyright1999111.FSOS2.3.4.FSO1FSO110/$83,000/44/30%$100,000/26/50%$63,000/45/$375,000/AGEAppliancesCopyright199911YYXAXBYGEAppliancesCopyright199911A.–––530088%ASIVP-“”88%GEAppliancesCopyright199911A.A.ASI-VPB.CMS45%“”“”A300ASIVP-ASIGEGEAppliancesCopyright1999:__________________________ProTrakID:_________:______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________:Zst:_________Zst:____________Zlt:_________Zlt:____________:A.••SETCIM•B12345“”CGEAppliancesCopyright1999DOEDOE/......GEAppliancesCopyright1999**GEAppliancesCopyright1999PProtrakrotrakGEAppliancesCopyright19991.2.6Sigma3.Protrak4.5./DMADVTab2:Tab2:GEAppliancesCopyright1999GEAppliancesCopyright1999zzCTQzCTQzGEAzzzzCTQzzzzzz(SPCFIS)zCpKzzGEAppliancesCopyright19992—36%0.07%1XYZ.lt0.53Z.lt3.66$30,000/20.0168LB$126,000/GEAppliancesCopyright19992X“”–“”“”“”‘’GEAppliancesCopyright1999–“”–“”—GEAppliancesCopyright199910.75-1.2550-10021.75-2.2550-10031.75-2.2550-10040.75-1.2550-10051.75-2.2550-10061.75-2.2550-10071.75-2.2550-10081.75-2.2550-10091.75-2.2550-100101.75-2.2550-100111.75-2.2550-100121.50-2.0050-100131.50-2.0050-100141.80-2.3050-100151.50-2.0050-100161.75-2.2550-100171.75-2.2550-100180.75-1.2550-100190.75-1.2550-100201.75-2.2550-100212.00-2.5050-100222.00-2.5050-100232.00-2.5050-100242.00-2.5050-100252.00-2.5050-100262.00-2.5050-100#(s)1234567KVGEAppliancesCopyright1999W3.9Copyright1995SixSigmaAcademy,Inc.---KV-1.2.3.4.5.6.7.8./9.1.2.3.4.5.1.2.3.ABTLGEAppliancesCopyright199933::SPCSPCGEAppliancesCopyright19991.“XBarS”2.“p”3.4.5.33::GEAppliancesCopyright1999SPCSPC–----“ttest”SPCSPCSPCGEAppliancesCopyright19996X66SPCSPCX1,X2,...,XkY1,Y2,...,YmXX11XX22XX33YYYXXXGEAppliancesCopyright1999SPCSPC•—XY•—SPCSPCGEAppliancesCopyright199996.0097.0098.0099.00100.00101.00102.00135791113151719212325AvgLCL-AAvg-GdUCL-AXUCLLCLXBarXBarXBar//SigmaSigmaSigma0.001.002.003.004.005.006.007.00135791113151719212325RangeLCL-RAVG-RUCL-RUCLsLCLssSigmaSigmaGEAppliancesCopyright1999Waltershewhart1920“”••/XbarS••SigmaGEAppliancesCopyright1999??HoHa:3,α/2=0.001353,α/2=0.00135Ho:µi=µHa:µi≠µ99.7%.99.7%.LCLxUCLxα/2α/2α/2α/2XGEAppliancesCopyright1999ConditionTimeMean:SUSTAINEDIRREGULARTRENDCONSTANTIRREGULARSHIFTSHIFTCONSTANTCONSTANTCONSTANTDECREASEDIRREGULARStdev:t1:t2:t3:t4:t5:t6:t7:C1:C2:C3:C4:C5:Copyright1995SixSigmaAcademy,Inc./GEAppliancesCopyright1999•••SigmaSigmaUCLLCL()XGEAppliancesCopyright1999Xbar&RN10,3-5Xbar&RN10,3-5XbarSn10XbarSn10:X:X:/(X).(X).XRn103-5XmRn=1XXXpn50dpu/dponPn50()cc5/UNXXXGEAppliancesCopyright1999XBarXBarXbarXbar--S)S)0Subgroup5101520253.73.83.94.04.14.24.3SampleMean11X=4.0963.0SL=4.232-3.0SL=3.9590.00.10.20.30.40.50.6SampleStDev1S=0.14033.0SL=0.2409-3.0SL=0.03982Xbar/SChartforEvaluationsXbarS–––Xbar-sMimitabXbar-RXbar-sMimitabXbar-RGEAppliancesCopyright1999MinitabXbar-S::GEAPPS6SigmaMinitabTrainingMinitabGEAPPS6SigmaMinitabTrainingMinitabSession4Session4controlcontrolchart.mtwchart.mtwStatControlChartsXbar-SGEAppliancesCopyright1999MinitabMinitabXbarXbar--SS“Week”“Tests”.“”“”GEAppliancesCopyright1999MinitabXbar-S……??0Subgroup5101520253.73.83.94.04.14.24.3SampleMean11X=4.0963.0SL=4.232-3.0SL=3.9590.00.10.20.30.40.50.6SampleStDev1S=0.14033.0SL=0.2409-3.0SL=0.03982Xbar/SChartforEvaluations“”“”GEAppliancesCopyright1999•3.957...•••0Subgroup5101520253.73.83.94.04.14.24.3SampleMean11X=4.0963.0SL=4.232-3.0SL=3.9590.00.10.20.30.40.50.6SampleStDev1S=0.14033.0SL=0.2409-3.0SL=0.03982Xbar/SChartforEvaluationsGEAppliancesCopyright1999K=()X=+++XXXkk12...nX/3LCLXσ−=nX/3UCLXσ+=GEAppliancesCopyright1999•“s”“s”•“S”•–Minitab)1()(2−−=∑ijiijinxxs()kssi∑=k=ni=IGEAppliancesCopyright19992542.55/22n=3n=3n=10n=10n=25n=25UCLUCLUCLUCLUCLUCLLCLLCLLCLLCLLCLLCLCopyright1995SixSigmaAcademy,Inc.GEAppliancesCopyright199933SigmaSigma??•3Sigma•3Sigmaα.00135α2σ-95%3σ-α=.003(:;)4.5σ-6.0σ-22σσ--95%95%33σσ--αα=.003(=.003(::;;))4.54.5σσ--6.06.0σσ--3σσGEAppliancesCopyright1999Xbars“”Xbar-s:=25,n=10,X=4.096S=.1403sBLCLsBUCLsAXLCLsAXUCLXX×=×=×−=×+=3433σσ:SPCSPCUCL=4.096+(.975x0.1403)=4.232LCL=4.096-(0.975x0.1403)=3.959UCLR=1.716x0.1403=0.2408LCLR=0.284x0.1403=0.0398GEAppliancesCopyright1999nA2A3D3D4B3B4d2c412.6603.760------21.8802.65903.26703.2671.1280.797931.0231.95402.57502.5681.6930.886240.7291.62802.28202.2662.0590.921350.5771.42702.11502.0892.3260.940060.4831.28702.0040.031.9702.5340.951570.4191.1820.0761.9240.1181.8822.7040.959480.3731.0990.1361.8640.1851.8152.8470.965090.3371.0320.1841.8160.2391.7612.9700.9693100.3080.9750.2231.7770.2841.7163.0780.9727SPC•σXbarσS•GEAppliancesCopyright19990Subgroup501004748495051525354SampleMean5151522