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1、FactorsFor3ylimitsforXandRchartsLowerLimitUpperLimitSampleSizeA2D3D421.880.003.2731.020.002.5740.730.002.2850.580.002.1160.480.002.0070.420.08P1.92丁80.370.141.8690.340.181.82:100.310.221.78150.220.35P1.65200.180.411.59Example:Wehaveafillingoperationfora16-ozboxofcereal.Thefollowing20sampleshavebeeni
2、dentifiedtobuildmeansandrangecontrolcharts.NumberMeanRangeNumberMeanRange116.241.3811P15.842.95216.362.331216.342.57316.291.5013P15.822.72416.232.071416.52.13515.752.7515P15.951.651616.041.371616.233.58716.352.4517P15.951.68:815.542.641815.841.73916.122.6719P16.102.80:1016.481.492015.981.89X=16.1R=2
3、.22GiventhefollowingSetofData,Determineiftheprocessisincontrol.Dothisforthemeanschartandtherangechart.SampleMeanRangeSampleMeanRange116.22.0716.02.9丁215.92.1816.11.8316.31.8916.31.5416.43.01016.31.0515.83.511r16.41.0:615.93.11216.50.9ComputetheUpperandLowerControlLimitsfromoriginaldata;1.Means:UCL=L
4、CL=2.Range:UCL=LCL=AttributeChartsP(1P)nUsingthefollowinginformation,constructacontrolchartthatwilldescribe95.5percentofthechancevariation.Eachsamplecontains100units.SampleDefectsSampleDefects114118210121231213941314105915116111610710178:81218129131910:10102016TotalNumberofDefects=220defectsobservationsRollsofcoiledwirearemonitoredusingaC-chart.18rollshavebeenexaminedandthenumberofdefectsperrollhasbeenrecorded.Istheprocessincontrol?Use2standarddeviationcontrollimits.SampleDefectsSampleDefectsSampleDefects1374132228114434921524510116151113r173162124181TotalDefects:45defectsobservationsUCL=LCL=
