spc examples

FactorsFor3-limitsforXandRchartsLowerLimitUpperLimitSampleSizeA2D3D421.880.003.2731.020.002.5740.730.002.2850.580.002.1160.480.002.0070.420.081.9280.370.141.8690.340.181.82100.310.221.78150.220.351.65200.180.411.59Example:Wehaveafillingoperationfora16-ozboxofcereal.Thefollowing20sampleshavebeenidentifiedtobuildmeansandrangecontrolcharts.NumberMeanRangeNumberMeanRange116.241.381115.842.95216.362.331216.342.57316.291.501315.822.72416.232.071416.52.13515.752.751515.951.65616.041.371616.233.58716.352.451715.951.68815.542.641815.841.73916.122.671916.102.801016.481.492015.981.89X=16.1R=2.22GiventhefollowingSetofData,Determineiftheprocessisincontrol.Dothisforthemeanschartandtherangechart.SampleMeanRangeSampleMeanRange116.22.0716.02.9215.92.1816.11.8316.31.8916.31.5416.43.01016.31.0515.83.51116.41.0615.93.11216.50.9ComputetheUpperandLowerControlLimitsfromoriginaldata;1.Means:UCL=LCL=2.Range:UCL=LCL=AttributeChartsUsingthefollowinginformation,constructacontrolchartthatwilldescribe95.5percentofthechancevariation.Eachsamplecontains100units.SampleDefectsSampleDefects1141182101212312139413141059151161116107101788121812913191010102016TotalNumberofDefects=220nsobservatiodefectsPnPPP)1(ˆ=UCL=LCL=RollsofcoiledwirearemonitoredusingaC-chart.18rollshavebeenexaminedandthenumberofdefectsperrollhasbeenrecorded.Istheprocessincontrol?Use2standarddeviationcontrollimits.SampleDefectsSampleDefectsSampleDefects137413222811443492152451011615111317362124181TotalDefects:45nsobservatiodefectsCUCL=LCL=