112002South-Western/ThomsonLearning2002South-Western/ThomsonLearningTMTMSlidespreparedSlidespreparedbyJohnLoucksbyJohnLoucks2Chapter17QualityControl3OverviewIntroductionStatisticalConceptsinQualityControlControlChartsAcceptancePlansComputersinQualityControlQualityControlinServicesWrap-Up:WhatWorld-ClassCompaniesDo4IntroductionQualitycontrol(QC)includestheactivitiesfromthesuppliers,throughproduction,andtothecustomers.Incomingmaterialsareexaminedtomakesuretheymeettheappropriatespecifications.Thequalityofpartiallycompletedproductsareanalyzedtodetermineifproductionprocessesarefunctioningproperly.Finishedgoodsandservicesarestudiedtodetermineiftheymeetcustomerexpectations.5QCThroughoutProductionSystemsRawMaterials,Parts,andSuppliesProductionProcessesProductsandServicesInputsConversionOutputsControlChartsandAcceptanceTestsControlChartsandAcceptanceTestsControlChartsQualityofInputsQualityofOutputsQualityofPartiallyCompletedProducts6ServicesandTheirCustomerExpectationsHospitalPatientreceivethecorrecttreatments?Patienttreatedcourteouslybyallpersonnel?Hospitalenvironmentsupportpatientrecovery?BankCustomer’stransactionscompletedwithprecision?Bankcomplywithgovernmentregulations?Customer’sstatementsaccurate?7ProductsandTheirCustomerExpectationsAutomakerAutohavetheintendeddurability?Partswithinthemanufacturingtolerances?Auto’sappearancepleasing?LumbermillLumberwithinmoisturecontenttolerances?Lumberproperlygraded?Knotholes,splits,andotherdefectsexcessive?8SamplingTheflowofproductsisbrokenintodiscretebatchescalledlots.Randomsamplesareremovedfromtheselotsandmeasuredagainstcertainstandards.Arandomsampleisoneinwhicheachunitinthelothasanequalchanceofbeingincludedinthesample.Ifasampleisrandom,itislikelytoberepresentativeofthelot.9SamplingEitherattributesorvariablescanbemeasuredandcomparedtostandards.Attributesarecharacteristicsthatareclassifiedintooneoftwocategories,usuallydefective(notmeetingspecifications)ornondefective(meetingspecifications).Variablesarecharacteristicsthatcanbemeasuredonacontinuousscale(weight,length,etc.).10SizeandFrequencyofSamplesAsthepercentageoflotsinsamplesisincreased:thesamplingandsamplingcostsincrease,andthequalityofproductsgoingtocustomersincreases.Typically,verylargesamplesaretoocostly.Extremelysmallsamplesmightsufferfromstatisticalimprecision.Largersamplesareordinarilyusedwhensamplingforattributesthanforvariables.11WhentoInspectDuringtheProductionProcessInspectbeforecostlyoperations.Inspectbeforeoperationsthatarelikelytoproducefaultyitems.Inspectbeforeoperationsthatcoverupdefects.Inspectbeforeassemblyoperationsthatcannotbeundone.Onautomaticmachines,inspectfirstandlastpiecesofproductionruns,butfewin-betweenpieces.Inspectfinishedproducts.12CentralLimitTheoremThecentrallimittheoremis:Samplingdistributionscanbeassumedtobenormallydistributedeventhoughthepopulation(lot)distributionsarenotnormal.Thetheoremallowsuseofthenormaldistributiontoeasilysetlimitsforcontrolchartsandacceptanceplansforbothattributesandvariables.13SamplingDistributionsThesamplingdistributioncanbeassumedtobenormallydistributedunlesssamplesize(n)isextremelysmall.Themeanofthesamplingdistribution(x)isequaltothepopulationmean(m).Thestandarderrorofthesamplingdistribution(sx)issmallerthanthepopulationstandarddeviation(sx)byafactorof1/=-n14PopulationandSamplingDistributionsf(x)xPopulationDistributionSamplingDistributionofSampleMeansMean=mStd.Dev.=sxMean=x=mStd.Error=xxσσ=nf(x)=x15ControlChartsPrimarypurposeofcontrolchartsistoindicateataglancewhenproductionprocessesmighthavechangedsufficientlytoaffectproductquality.Iftheindicationisthatproductqualityhasdeteriorated,orislikelyto,thencorrectiveistaken.Iftheindicationisthatproductqualityisbetterthanexpected,thenitisimportanttofindoutwhysothatitcanbemaintained.Useofcontrolchartsisoftenreferredtoasstatisticalprocesscontrol(SPC).16ConstructingControlChartsVerticalaxisprovidesthescaleforthesampleinformationthatisplottedonthechart.Horizontalaxisisthetimescale.Horizontalcenterlineisideallydeterminedfromobservingthecapabilityoftheprocess.Twoadditionalhorizontallines,theloweranduppercontrollimits,typicallyare3standarddeviationsbelowandabove,respectively,thecenterline.17ConstructingControlChartsIfthesampleinformationfallswithintheloweranduppercontrollimits,thequalityofthepopulationisconsideredtobeincontrol;otherwisequalityisjudgedtobeoutofcontrolandcorrectiveactionshouldbeconsidered.TwoversionsofcontrolchartswillbeexaminedControlchartsforattributesControlchartsforvariables18ControlChartsforAttributesInspectionoftheunitsinthesampleisperformedonanattribute(defective/non-defective)basis.Informationprovidedfrominspectingasampleofsizenisthepercentdefectiveinasample,p,orthenumberofunitsfoundtobedefectiveinthatsampledividedbyn.19Althoughthedistributionofsampleinformationfollowsabinomialdistribution,thatdistributioncanbeapproximatedbyanormaldistributionwithameanofpstandarddeviationofThe3scontrollimitsare)/np(100p)/np(100p3-/pControlChartsforA