DPMO Zigma Rev3

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DPMO_ZProgrammed by Dr. Richard Taylor at RWTaylor Associates (Revised 2002)Worksheet for Long Term Defect Data to Short Term Sigma LevelConfidence Limits (alpha=0.05)on ZltCTQsDefectsUnitsOpp'sTotal_OpsDPUDPODPMOYieldZltShiftZstloweruppery12020024000.1000.05050,00095.00%1.641.503.141.431.87y220501500.4000.400400,00060.00%0.251.501.75-0.120.63y33101100.3000.300300,00070.00%0.521.502.02-0.391.50y40n/an/an/an/an/a1.50n/an/an/ay50n/an/an/an/an/a1.50n/an/an/ay60n/an/an/an/an/a1.50n/an/an/ay70n/an/an/an/an/a1.50n/an/an/ay80n/an/an/an/an/a1.50n/an/an/ay90n/an/an/an/an/a1.50n/an/an/ay100n/an/an/an/an/a1.50n/an/an/aRollup43n/an/a460n/a0.09393,47890.65%1.321.502.821.161.49

Z_TableProgrammed by Dr. Richard Taylor at RWTaylor Associates (Revised 2002)Worksheet for Z Table ConversionWorksheet for ppm ConversionEnter ValuesNumber of Standard Deviations (Z-Score)Area to the LeftAs a ppmArea to the RightAs a ppmEnter ValuesAs a ppmNumber of Standard Deviations (Z-Score)Example1.000.84138413450.1587158,655Example3.44.4999Actual3.200.99939993130.0007687Actual500,000.0-0.0000Actual1.000.84138413450.1587158,655Actual250.03.4808Actual-1.000.15871586550.8413841,345Actualn/aActualn/an/an/an/aActualn/aActualn/an/an/an/aActualn/a

AR&RProgrammed by Dr. Richard Taylor at RWTaylor Associates (Revised 2002)For Use with AR&R DiscrepanciesConfidence Limits (alpha=0.05)Meas.on Sigmaon DPMODiscrepanciesTotal_OppsDPODPMOYieldSigmalowerupperlowerupper2900.02222,22297.78%2.011.422.78270377978

SampleSizeProgrammed by Dr. Richard Taylor at RWTaylor Associates (Revised 2002)Sample Size for Confidence IntervalsSample Size for Continuous DataSample Size for Attribute DataInputsInputsEstimate of Standard Deviations =6.25Estimate of Proportion Successp =0.03Discrimination Leveld =1.25Discrimination Leveld =0.01Risk Levela =0.05Risk Levela =0.05OutputOutputSample Sizen =97Sample Sizen =1118Sample Size for Hypothesis TestingSample Size for Continuous DataSample Size for Attribute DataInputsInputsEstimate of Standard Deviations =5Estimate of Proportion Successp =0.01Discrimination Leveld =1Discrimination Leveld =0.02Type I Risk Levela =0.05Type I Risk Levela =0.05Type II Risk Levelb =0.1Type II Risk Levelb =0.05OutputOutputSample Sizen =263Sample Sizen =322