雨课堂学堂在线学堂云《统计质量控制（东南）》单元测试考核答案

第1题Thefieldofstatisticsdealswiththecollection,presentation,analysis,anduseof____tomakedecisions,solveproblems,anddesignproductsandprocesses.Statisticaltechniquescanbeapowerfulaidindesigningnewproductsandsystems,improvingexistingdesigns,anddesigning,developing,andimprovingproductionprocesses.Statisticalmethodsareusedtohelpusdescribeandunderstand____.AdataInvariability

Bmethod

InvariabilityCdatavariabilityDmethod

variability第2题StatisticalQualityControlisapplicableonlytomanufacturingindustriesandnottoserviceindustries.第1题Inordertofindouttheheightofthestudents,200malestudentsand100femalestudentswereselectedproportionally.Whichsamplingmethodwasused?ASimpleRandomSampleBStratifiedRandomSamplingCSystematicsamplingDClusterSampling第2题HowcanrepresentativenessbeensuredinSimpleRandomSampling?AApplyweightstothesamplesBUsenon-randommethodstosupplementsamplingCIncreasethesamplesizeDRelyonexpertjudgmenttoselectsamples2.2作业第1题Thesamplestandarddeviationisanunbiasedestimatorofthepopulationstandarddeviation.第2题Calculatethemodeandsamplevariance(s)forthissample(1,5,3,5,1)Amode:3ands:4Bmode:3ands:3.2Cmode:1,5ands:4Dmode:1,5ands:3.2第3题Iftheprobabilitydensityfunctionofapopulationisamonotonicallyincreasingfunctionwithinterval[a,b],thenPopulationmodeisAaBbC(a+b)/2Dbetweenaandb第4题Ifthevalueofasampleis2,5,2,calculatethesampleskewnessofthesampleanddeterminewhetheritispositiveskewornegativeskew.A1,negativeskewB1,positiveskewC2/2,negativeskewD2/2,positiveskew第5题Supposethereare200observations,20samplesof10observationseach,thesamplesizeis10.第6题WhatistheprimaryadvantageofStratifiedRandomSampling?AItincreasesheterogeneitywithinsamplesBItavoidstheneedforstratificationCItrequiresfewerdatapointsDItreducessamplingbias2.3作业第1题WhenisClusterSamplingappropriate?AWhenthesameproportionofsamplesisneededfromeachgroupBWhenthesamplesizeneedstobesmallCWhenthepopulationisnaturallydividedintogroupswithhomogeneitywithingroupsDWhenthepopulationisnaturallydividedintogroupswithheterogeneitywithingroups第2题WhatisthefirststepinSystematicSampling?ADeterminethesamplingintervalBRandomlyselectastartingpointCStratifythepopulationDDecidethesamplesize3.1作业第1题AssumeXisnormallydistributedwithameanof5andastandarddeviationof4.Whichofthefollowingoptionsiscorrect?AP(x≤9)=Φ(2)BP(x≤9)=Φ(1)CP(x≤9)=Φ(0)DP(x≤9)=Φ(−1)第2题AssumeXisnormallydistributedwithameanof5andastandarddeviationof4.Whichofthefollowingoptionsiscorrect?AP(1≤x≤9)=68.26%BP(1≤x≤9)=99.73%CP(1≤x≤9)=95.46%DP(1≤x≤9)=50%第3题Assume

X1,X2,...,Xn

isarandomsampleofsizentakenfromapopulationwithmeanμandfinitevariance

σ2,

andif

x

isthesamplemean,asn→∞,

whichofthefollowingoptionsiscorrect:Ax∼N(μ,σn)Bx∼N(μ,σn)Cx∼N(μ,σ2n)Dx∼N(μ,σ2n)第4题Whatdoesthe68-95-99.7ruledescribeinanormaldistribution?ATheprobabilitydistributionpatternofdataBThesymmetryofcentraltendencyCTheprobabilityofdatafallingwithincertainrangesaroundthemeanDTherelationshipbetweenvarianceandstandarddeviation3.2作业第1题SupposeXhasanexponentialdistributionwithλ=2.Whichofthefollowingoptionsiscorrect?AE(X)=2BE(X)=4CV(X)=1/2DV(X)=1/4第2题Thetimebetweencallstoaplumbingsupplybusinessisexponentiallydistributedwithameantimebetweencallsof15minutes.Whatistheprobabilitythattherearenocallswithina30-minuteinterval?A0.1353B0.4866C0.2031D0.2706第3题AssumeXisagammarandomvariablewithparametersλandr.Whichofthefollowingoptionsiscorrect?AE(X)=1λ,V(X)=1λ2BE(X)=1r,V(X)=1r2CE(X)=rλ,V(X)=rλ2DE(X)=λr,V(X)=λr23.3作业第1题SupposethatXhasaWeibulldistributionwithβandδhours.Whichofthefollowingoptionsiscorrect?AE(X)=δΓ(1+1β),V(X)=δ2Γ(1+1β)−(δΓ(1+2β))2BE(X)=δΓ(1+1β),V(X)=δ2Γ(1+2β)−(δΓ(1+1β))2CE(X)=δΓ(1+2β),V(X)=δ2Γ(1+2β)−(δΓ(1+1β))2DE(X)=δΓ(1+2β),V(X)=δ2Γ(1+1β)−(δΓ(1+2β))2第2题Thelifetimeofasemiconductorlaserhasalognormaldistributionwithθ=10hoursandω=1.5hours.Determinethemeanandstandarddeviationoflifetime.AE(X)=e(θ+ω2/2),V(X)=e(2θ+ω2)(eω2−1)BE(X)=e(θ+ω/2),V(X)=e(2θ+ω/2)(eω−1)CE(X)=e(θ+ω/2),V(X)=e(2θ+ω)(eω−1)DE(X)=e(θ+ω2/2),V(X)=e(2θ+ω2/2)(eω2−1)第3题Thelifetimeofasemiconductorlaserhasalognormaldistributionwithθ=10hoursandω=1.5hours.Whatistheprobabilitythelifetimeexceeds10,000hours?AΦ(ln(10000)−101.5)B1−Φ(ln(10000)−101.5)CΦ(ln(10000)−101.5)D1−Φ(ln(10000)−101.5)3.4作业第1题Whichnormalprobabilityplotindicatesanormaldistribution?ABCD第2题

Accordingtothenormalprobabilityplot,ifthesamplesizeisn<30,therecanbealotofdeviationfromlinearityinnormalplots.Andasnincreases,thelinearpatternwilltendtobecomestronger.4.1作业第1题Eachsampleofwaterhasa10%chanceofcontainingaparticularorganicpollutant.Assumethatthesamplesareindependentwithregardtothepresenceofthepollutant.Findtheprobabilitythatinthenext18samples,exactly2containthepollutant.AP(X=2)=(218)0.120.916BP(X=2)=(218)0.1160.92CP(X=2)=(218)0.12DP(X=2)=(218)0.118第2题Eachsampleofwaterhasa10%chanceofcontainingaparticularorganicpollutant.Assumethatthesamplesareindependentwithregardtothepresenceofthepollutant.Whatisthemeanandvarianceofthesamplescontainingthepollutantinthenext18samples?Aμ=1.8,σ2=0.18Bμ=1.8,σ2=1.62Cμ=16.2,σ2=1.8Dμ=1.62,σ2=1.8第3题Becausenotallairlinepassengersshowupfortheirreservedseat,anairlinesells125ticketsforaflightthatholdsonly120passengers.Theprobabilitythatapassengerdoesnotshowupis0.10,andthepassengersbehaveindependently.Whatistheprobabilitythateverypassengerwhoshowsupcantaketheflight?A0.9886B0.9961C0.0114D0.00394.2作业第1题Theprobabilitythatawafercontainsalargeparticleofcontaminationis0.01.Ifitisassumedthatthewafersareindependent,whatistheprobabilitythatexactly125wafersneedtobeanalyzedbeforealargeparticleisdetected?A0.0029B0.9971C0.3625D0.6375第2题Theprobabilitythatabittransmittedthroughadigitaltransmissionchannelisreceivedinerroris0.1.Whatisthestandarddeviationofthenumberoftransmissionsbeforethefirsterror?Aμ=10,σ2=9.49Bμ=10,σ2=90Cμ=1.11,σ2=9.49Dμ=1.11σ2=90第3题AWebsitecontainsthreeidenticalcomputerservers.Onlyoneisusedtooperatethesite,andtheothertwoaresparesthatcanbeactivatedincasetheprimarysystemfails.Theprobabilityofafailureintheprimarycomputer(oranyactivatedsparesystem)fromarequestforserviceis0.0005.Assumingthateachrequestrepresentsanindependenttrial,whatisthemeannumberofrequestsuntilfailureofallthreeservers?A2000B4000C6000D8000第4题Whichofthefollowingaretrueaboutthenegativebinomialdistribution?AThenegativebinomialdistributiondescribesthenumberoffailuresbeforetherrr-thsuccessBTheprobabilitymassfunctionofthenegativebinomialdistributionisP(X=k)=(k+r−1r−1)pr(1−p)kP(X=k)=\binom{k+r-1}{r-1}p^r(1-p)^kCTheexpectedvalueofthenegativebinomialdistributionisrp\frac{r}{p}DThevarianceofthenegativebinomialdistributionisr(1−p)p2\frac{r(1-p)}{p^2}正确答案：DCBA4.3作业第1题Abatchofpartscontains100partsfromalocalsupplieroftubingand200partsfromasupplieroftubinginthenextstate.Iffourpartsareselectedrandomlyandwithoutreplacement,whatistheprobabilitytheyareallfromthelocalsupplier?A0.0119B0.9881C0.1955D0.8045第2题Contaminationisaprobleminthemanufactureofopticalstoragedisks.ThenumberofparticlesofcontaminationthatoccuronanopticaldiskhasaPoissondistribution,andtheaveragenumberofparticlespercentimetersquaredofmediasurfaceis0.1.Theareaofadiskunderstudyis100squaredcentimeters.Findtheprobabilitythat12particlesoccurintheareaofadiskunderstudy.A0.095B0.905C0.995D0.005第3题IfXisaPoissonrandomvariablewithparameter,then

μ=1λ,σ2=1λ2第4题IfarandomvariableXX

followsahypergeometricdistribution,X∼Hypergeometric(N,K,n)X\sim\text{Hypergeometric}(N,K,n),whichofthefollowingaretrue?AThehypergeometricdistributionappliestosamplingfromafinitepopulationBTheprobabilitymassfunctionofthehypergeometricdistributionisP(X=k)=(Kk)(N−Kn−k)(Nn)P(X=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}CTheexpectedvalueofthehypergeometricdistributionisnKN\frac{nK}{N}DThehypergeometricdistributionappliestosamplingfromaninfinitepopulation正确答案：CBA5.1作业第1题Supposewehavearandomsampleofsize2nfromapopulationdenotedbyX,and

E(X)=μ,V(X)=σ2,

let

X1−=12n∑i=12nXi,andX2−=1n∑i=1nXibetwoestimatorsofμ.Whichismorelikelytoproduceanestimateclosetothetruevalue,anditsvariance.AX1−,σ2/2nBX1−,σ2/nCX2−,σ2/2nDX2−,σ2/n第2题Letthreerandomsamplesofsizesn1=20,n2=10,andn3=8betakenfromapopulationwithmeanμandvarianceσ2.Let

S12,S22,S32

bethesamplevariances.IsS2=(20S12+10S22+8S32)

anunbiasedestimatorof

σ2?5.2作业第1题Supposethat

X1,X2,...,Xn

isarandomsamplefromanexponentialdistributionwithparameter𝜆.themomentestimatorof𝜆isAX−BX−/2C1/X−DX−/n第2题ConsiderthePoissondistribution

f(x)=e−λλxx!,x=0,1,2,...

Findthemaximumlikelihoodestimatorofλ,basedonarandomsampleofsizen.AX−BX−/2C1/X−DX−/n第3题Whatistheprimarydifferencebetweenpointestimationandintervalestimation?APointestimationonlyappliestonormaldistributionsBIntervalestimationisalwaysmorepreciseCPointestimationdependsonsamplevariance,whileintervalestimationdoesnotDPointestimationprovidesasinglevalue,whileintervalestimationprovidesarangeofpossiblevalues5.3作业第1题Howisthebestdistributionselectedinlifetimedistributionfitting?ABasedonthecharacteristicsofactualdataandgoodness-of-fittestresultsBAlwaysprioritizethenormaldistributionCChoosethedistributiontypedirectlybasedonexperienceDOnlyrelyonthesoftware'ssuggesteddistribution第2题Whatarethemainstepsinlifetimedistributionfitting?ADatapreprocessing,performingregression,selectingthebestmodel,andcalculatingconfidenceintervalsBDatacollection,meancalculation,confidenceintervalconstruction,andvariancecalculationCDatacleaning,groupcomparison,deviationcalculation,andchartplottingDDatapreparation,selectingadistribution,parameterestimation,andfitvalidation6.1作业第1题Supposewehaveasampleofsize100fromanormaldistributionwithknownvariance4.Thesamplemeanis20.Whatisthe95%confidenceintervalforthepopulationmean?A(19.6,20.4)B(19.8,20.2)C(19.9,20.1)D(19.7,20.3)第2题Ifthesamplesizeincreases,whathappenstothewidthoftheconfidenceinterval(assumingtheconfidencelevelandthepopulationvarianceremainconstant)?AThewidthincreases.BThewidthdecreases.CThewidthremainsthesame.DTheeffectonthewidthisunpredictable.第3题Whichfactorsarecloselyrelatedtothewidthofasingle-sampleconfidenceinterval?ASamplemeanBSamplestandarddeviationCSamplesizeDConfidencelevel正确答案：BCD6.2作业第1题

Iftheconfidencelevelincreases(sayfrom95%to99%),whathappenstothewidthoftheconfidenceinterval(assumingthesamplesizeandthepopulationvarianceremainconstant)?AThewidthincreases.BThewidthdecreases.CThewidthremainsthesame.DTheeffectonthewidthisunpredictable.

第2题Thewidthoftheconfidenceintervalforthemeanofanormaldistribution,whenthevarianceisknown,isindependentofthesamplesize.6.3作业第1题Supposewehaveasampleofsize25fromanormaldistributionwithunknownvariance.Thesamplemeanis30andthesamplestandarddeviationis5.Whatisthe95%confidenceintervalforthepopulationmean?A(28.2,31.8)B(29.0,31.0)C(29.5,30.5)D

(29.8,30.2)第2题Ifthesamplesizeincreases,whathappenstothewidthoftheconfidenceinterval(assumingtheconfidencelevelandthesamplestandarddeviationremainconstant)?AThewidthincreases.B

Thewidthdecreases.CThewidthremainsthesame.DTheeffectonthewidthisunpredictable.第3题SupposeZisanormalpopulationwithmean5andunknownvariance.Asampleofsize36isdrawnfromZ,andthesamplestandarddeviationis3.Findthe90%confidenceintervalforthestandarddeviationofZ.A(2.52,3.48)B(2.58,3.42)C(2.64,3.36)D(2.70,3.30)6.4作业第1题SupposeWisanormalpopulationwithmean10andunknownvariance.Asampleofsize25isdrawnfromW,andthesamplestandarddeviationis2.Findthe95%confidenceintervalforthestandarddeviationofW.A(1.60,2.40)B(1.66,2.34)C(1.72,2.28)D(1.78,2.22)第2题Acompanyconductsasatisfactionsurveyofits1,000employees,andtheresultsshowthat600employeesaresatisfiedwiththecompany'swelfaresystem.Findtheconfidenceintervalfortheoverallpercentageofemployeeswhoaresatisfiedwiththewelfaresystematthe95%confidencelevel.A(0.55,0.65)B(0.57,0.63)C(0.58,0.62)D(0.59,0.61)第3题Thelengthsofpartsproducedinafactoryfollowanormaldistributionwithameanof10cmandastandarddeviationof0.5cm.Now25partsarerandomlyselectedfromthelotfortesting.Findthetoleranceintervalthatcovers90%oftheoverallpartlengthsatthe95%confidencelevel.A(9.2,10.8)B(9.3,10.7)C(9.4,10.6)D(9.5,10.5)7.1作业第1题Ineachofthefollowingsituations,whichisacorrectlystatedhypothesistestingproblem?A：，：H0：μ=25，H1：μ≠25B：H0：σ>10,H1:σ=10CH0:x=50,H1:x≠50DH0:p=0.1,H1:p=0.5第2题Theheatevolvedincaloriespergramofacementmixtureisapproximatelynormallydistributed.Themeanisthoughttobe100andthestandarddeviationis2.WewishtotestH0:μ=100

versusH1:μ≠100

withasampleofn=9specimens.Aσ(x)=2BIftheacceptanceregionis

98.5<x<101.5,

α≈0.244CIftheacceptanceregionis98<x<102,

μtrue=102,β≈0.6D无第3题WhatdoesaTypeIerrorinhypothesistestingreferto?AIncorrectlyacceptingthealternativehypothesisBIncorrectlyrejectingthealternativehypothesisCIncorrectlyacceptingthenullhypothesisDIncorrectlyrejectingthenullhypothesis7.2作业第1题WeshouldrejectthenullhypothesisifthePvalueislargerthanthesignificancelevel.第2题Themeanwatertemperaturedownstreamfromapowerplantcoolingtowerdischargepipeshouldbenomorethan100°F.Pastexperiencehasindicatedthatthestandarddeviationoftemperatureis2°F.Thewatertemperatureismeasuredonninerandomlychosendays,andtheaveragetemperatureisfoundtobe98°F.Whichofthefollowingsiscorrect?AThewatertemperatureisjudgedacceptablewith

α=0.05BTheP-valueforthistestis0.0027CIfthewaterhasatruemeantemperatureof104°F,theprobabilityofacceptingthenullhypothesisatα=0.05

is0.013D无第3题Anengineerwhoisstudyingthetensilestrengthofasteelalloyintendedforuseingolfclubshaftsknowsthattensilestrengthisapproximatelynormallydistributedwithσ

=60psi.Arandomsampleof12specimenshasameantensilestrengthofx

=3250psi.ThenAif

α=0.05,H0:μtrue=3300isnotrejectedBσ(x)≈15.3Cif

α=0.1,H0:μtrue=3230isnotrejectedD无第4题Supercavitationisapropulsiontechnologyforunder-seavehiclesthatcangreatlyincreasetheirspeed.Itoccursaboveapproximately50meterspersecond,whenpressuredropssufficientlytoallowthewatertodissociateintowatervapor,formingagasbubblebehindthevehicle.Whenthegasbubblecompletelyenclosesthevehicle，supercavitationissaidtooccur.Eighttestswereconductedonascalemodelofanunderseavehicleinatowingbasinwiththeaverageobservedspeedx=102.2

meterspersecond.Assumethatspeedisnormallydistributedwithknownstandarddeviationσ=4

meterspersecond.

H0:μ=100versus,H1:μ<100versus,α=0.05AH0isnotrejectedBσ(x)=0.5CIfμtrue=95,β≈0.04D无7.3作业第1题Fivesamplesofthematerialweretestedinastructure,andtheaverageinteriortemperature(°C)reportedwasasfollows:23.01,22.22,22.04,22.62,and22.59.：，：H0：μ=22.5，H1：μ≠22.5,α=0.05.Whichofthefollowingsiswrong?Ax=22.496BS=0.114504CH0isrejectedD无第2题Thebodytemperaturesfor25femalesubjectsfollow:97.8,97.2,97.4,97.6,97.8,97.9,98.0,98.0,98.0,98.1,98.2,98.3,98.3,98.4,98.4,98.4,98.5,98.6,98.6,98.7,98.8,98.8,98.9,98.9,99.0.：，：，H0：μ=98.6，H1：μ≠98.6，α=0.05.Whichofthefollowingsiswrong?Ax=98.246BS=0.4821CH0isrejectedD无7.4作业第1题Amanufacturerofshampooclaimsthatthefoamheightofhisproductexceeds200millimeters.Itisknownfrompriorexperiencethatthestandarddeviationoffoamheightis8millimeters.Foreachofthefollowingsamplesizes,andafixedα=0.05,thetruemeanis204millimeters.Aifn=20,the

β=0.41274Bifn=50,then

β=0.00494Cifn=100,then

β=0.00218D无第2题Aninspectorofflowmeteringdevicesusedtoadministerfluidintravenouslywillperformahypothesistesttodeterminewhetherthemeanflowrateisdifferentfromtheflowratesettingof100millilitersperhour.Basedonpriorinformationthestandarddeviationoftheflowrateisassumedtobeknownandequalto5millilitersperhour.Foreachofthefollowingsamplesizes,andafixedα=0.05,thetruemeanis102millimeters.Aifn=50，thenβ=0.19215Bifn=80，then

β=0.06842Cifn=100，then

β=0.02168D无第3题Whenthevarianceisunknown,thez-testshouldbeused第4题Inatwo-tailedhypothesistest,ifthecriticalvaluesare±2.5andtheteststatisticis2.8,whatconclusionshouldbedrawn?AIndeterminateBRejectthenullhypothesisCFailtorejectthenullhypothesisDAcceptthenullhypothesis8.1作业第1题Inatestofindependentmeansoftwosamples,whatistheoriginalhypothesis?AthemeansofthetwosamplesarenotequalBThemeansofthetwosamplesareequalCthevariancesofthetwosamplesareequalDThevariancesofthetwosamplesarenotequal.第2题Whentheabsolutevalueoftheteststatisticinatestofindependentmeansoftwosamplesisgreaterthanthecriticalvalue,whichoptionshouldwechoose?ARejecttheoriginalhypothesisBAcceptthehypothesisCCannotmakeadecisionDContinuetocollectdata第3题Whenconstructingaconfidenceintervalforthedifferenceinsampleproportions,assumethattheproportionsoftwosamplesare0.6and0.5,withsamplesizesof100and120,respectively.Whatisthestandarderrorusedinconstructingthe95%confidenceinterval?A0.051B0.046C0.053D0.0488.2作业第1题Whatisthepurposeofthepairedt-test?ATestwhetherthevariancesoftwoindependentsamplesaresignificantlydifferent.BTotestwhetherthereisasignificantdifferencebetweenthemeansoftwoindependentsamplesCTotestwhetherthevariancesoftwopairedsamplesaresignificantlydifferentfromeachother.DTotestwhetherthereisasignificantdifferencebetweenthemeansoftwopairedsamples第2题Whencalculatingtheconfidenceintervalforthedifferenceinmeansoftwoindependentsamples,ifthesamplestandarddeviationsareunknownandthesamplesizesaresmall,andiftheassumptionofequalvariancesisnotmade,whichmethodshouldbeused?AWelch'smethodBPairedt-testCZ-testDChi-squaretest8.3作业第1题Whenthecalculatedp-valueislessthanthelevelofsignificanceinacomparisonofthevariancesoftwosamples,whichoptionshouldwechoose?ARejecttheoriginalhypothesisBAccepttheoriginalhypothesisCCannotmakeadecisionDContinuetocollectdata第2题Inapairedt-test,whichmethodshouldweusetoobtainap-valuewhenthesamplesizeissmall?AnormaldistributiontableBt-distributiontableCchi-squaredistributiontableDF-distributiontable第3题Whenconstructingaconfidenceintervalforthedifferenceoftwosamplemeans,andassumingthevariancesofbothsamplesareknown,whichdistributionshouldbeused?At-distributionBNormaldistributionCChi-squaredistributionDF-distribution9.1作业第1题TheWesternElectricHandbook(1956)suggestsasetofdecisionrulesfordetectingnonrandompatternsoncontrolcharts.TheprocessisoutofcontrolexceptAOnepointplotsoutside3-sigmacontrollimits.BTwooutofthreeconsecutivepointsplotbeyonda2-sigmalimit.CThreeoutoffourconsecutivepointsplotatadistanceof1-sigmaorbeyondfromthecenterline.DEightconsecutivepointsplotononesideofthecenterline.第2题WhenanalyzinganSPCcontrolchart,ifyoufindapointthatfallsoutsidethecontrollimits,howshouldyouanalyzethesituation?AAssumetheprocesshasnotchangedandcontinuemonitoringBPerformarootcauseanalysistoidentifythereasonfortheanomalyCDirectlyadjustprocessparametersDIgnoretheanomalyandcontinueproduction9.2作业第1题Statisticalmethodsplayavitalroleinqualityimprovement.TheapplicationsincludeAInproductdesignanddevelopment,statisticalmethods,includingdesignedexperiments,canbeusedtocomparedifferentmaterials,components,oringredients,andtohelpdeterminebothsystemandcomponenttolerances.Thisapplicationcansignificantlylowerdevelopmentcostsandreducedevelopmenttime.BStatisticalmethodscanbeusedtodeterminethecapabilityofamanufacturingprocess.Statisticalprocesscontrolcanbeusedtosystematicallyimproveaprocessbyreducingvariability.CExperimentaldesignmethodscanbeusedtoinvestigateimprovementsintheprocess.Theseimprovementscanleadtohigheryieldsandlowermanufacturingcosts.DLifetestingprovidesreliabilityandotherperformancedataabouttheproduct.Thiscanleadtonewandimproveddesignsandproductsthathavelongerusefullivesandloweroperatingandmaintenancecosts.正确答案：DCBA第2题Itiscustomarytothinkofstatisticalprocesscontrol(SPC)asasetofproblem-solvingtoolsthatmaybeappliedtoanyprocess.HowmanyofthefollowingsareThemajortoolsofSPC?1.Histogram2.Paretochart3.Cause-and-effectdiagram4.Defect-concentrationdiagram5.Controlchart6.Scatterdiagram7.ChecksheetA4B5C6D7第3题Themostimportantuseofacontrolchartistoimprovetheprocess.Howmanyofthefollowingsaretrue?1.Mostprocessesdonotoperateinastateofstatisticalcontrol.2.Consequently,theroutineandattentiveuseofcontrolchartswillidentifyassignablecauses.Ifthesecausescanbeeliminatedfromtheprocess,variabilitywillbereducedandtheprocesswillbeimproved.3.Thecontrolchartwillonlydetectassignablecauses.Management,operator,andengineeringactionwillusuallybenecessarytoeliminatetheassignablecause.Anactionplanforrespondingtocontrolchartsignalsisvital.A3B2C1D0第4题Whichofthefollowingsiswrong?AUCL=μ+3σBLCL=μ−3σCDCL=μ+2σDCL=μ9.3作业第1题Controlchartshavehadalonghistoryofuseinindustry.Therearesomereasonsfortheirpopularity.Howmanyofthefollowingsaretrue?1.Controlchartsareaproventechniqueforimprovingproductivity.2.Controlchartsareeffectiveindefectprevention.3.Controlchartspreventunnecessaryprocessadjustments.4.Controlchartsprovidediagnosticinformation.5.Controlchartsprovideinformationaboutprocesscapability.A2B3C4D5第2题Controlchartscanbeusedto(

)?AestimateBmeasureCrecordDdescribe正确答案：ABC第3题Whichofthefollowingsiswrong?ATakinglargesamplesveryfrequentlyisusuallynoteconomicallyfeasible.BCurrentindustrypracticetendstofavorbigger,lessfrequentsamples.Casautomaticsensingandmeasurementtechnologydevelops,itisbecomingpossibletogreatlyincreasefrequenciesofsampling.DIngeneral,largersampleswillmakeiteasiertodetectsmallshiftsintheprocess.第4题Chancecausesareaninherentpartoftheprocess.10.1作业第1题Whenunknownμandσ,thecontrolchartforRisALCL=D1σ,CL=d2σ,UCL=D2σBLCL=D3R,CL=R,ULC=D4RCLCL=x−A2R,CL=x,ULC=x+A2RDLCL=μ−Aσ,CL=μ,ULC=μ+Aσ第2题Aqualitycharacteristicismonitoredbyacontrolchartdesignedsotheprobabilitythatacertainout-of-controlconditionwillbedetectedonthefirstsamplefollowingtheshifttothatstateis1−β.Pleasegivetheprobabilitythattheout-of-controlconditionwillbedetectedonthemthsamplefollowingtheshift.Aβ(1−β)mBβ(1−β)m−1Cβm(1−β)Dβm−1(1−β)第3题hatisthetypeIerrorforx

-barcontrolchartswith0.001probabilitylimitandsamplesizeof4?A0.001B0.002C0.004D0.00910.2作业第1题Whenunknownμandσ,thecontrolchartforSisALCL=B5σ,CL=c4σ,UCL=B6σBLCL=B3S,CL=S,UCL=B4SCLCL=D1σ,CL=d2σ,ULC=D2σDLCL=D3R,CL=R,ULC=D4R第2题Pleaseselectthefollowingcorrectstatement.ARchartisusuallyforasamplesizelargerthan10BXbarchartismorerobusttononnormalitythanRchartCIfn>10,aSchartshouldbeusedinsteadofaRchartDRcharisnotusedforvariablesamplesize正确答案：BD第3题Controlchartsforxands

aremaintainedonaqualitycharacteristic.Thesamplesizeisn=4.After30

samples,weobtain∑i=130xi=12.870,∑i=130si=410Pleasefindthe

3σlimitsfortheSchart.ACL=14.138,UCL=32.037,LCL=0BCL=13.667,UCL=32.037,LCL=0CCL=14.138,UCL=30.969,LCL=0DCL=13.667,UCL=30.969,LCL=010.3作业第1题Webelievethatthelargerthecapabilityofprecision,thebetter.第2题Whatdothe“three-sigma”controllimitsinacontrolchartrepresent?AThreetimestheactualprocessstandarddeviationBThesamplemeanplusorminusthreetimesthesamplestandarddeviationCTheproductofthesamplemeanandstandarddeviationDThedifferencebetweenthemaximumandminimumvaluesinthecontrolchart11.1作业第1题Ifpisknown,pleasegivethecontrollimitsforp-chart.Aσ=p(1−p)n,CL=σ,UCL=p+3σ,LCL=p−3σBσ=p(1−p)n,CL=σ,UCL=p+3σ,LCL=max(p−3σ,0)Cσ=p(1−p)n−1,CL=σ,UCL=p+3σ,LCL=p−3σDσ=p(1−p)n−1,CL=σ,UCL=p+3σ,LCL=max(p−3σ,0)第2题Afractionnonconformingcontrolchartistobeestablishedwithacenterlineof0.01andtwo-sigmacontrollimits.Howlargeshouldthesamplesizebeifthelowercontrollimitsistobenonzero?A396B397C891D892第3题Afractionnonconformingcontrolchartistobeestablishedwithacenterlineof0.01andtwo-sigmacontrollimits.Howlargeshouldthesamplesizebeifwewishtheprobabilityofdetectingashiftto0.04tobe0.5?A25B56C17D44第4题WhenusingaPchart,ifthesamplesizeis100andthenumberofdefectiveitemsis5,whatisthedefectrate?A0.05B0.03C0.01D0.0211.2作业第1题ThefollowingarecorrectaboutUchartandCchartare:ACChart:controlthetotalnumberofnonconformitiesinasamplefontBUChart:theaveragenumberofnonconformitiesperunitCTheoccurrenceofnonconformitiesinsamplesofconst