緒論單元測試1【單選題】(10分)PennyBauer,ChiefFinancialOfficerofHarrisonHaulage,suspectsirregularitiesinthepayrollsystem,andordersaninspectionof‘eachandeverypayrollvoucherissuedsince1January2005’.Fivepercentofthepayrollvoucherscontainedmaterialerrors.Thisisanexampleof________________.A.descriptivestatisticsB.nonparametricstatisticsC.nominaldataD.inferentialstatistics第一章測試1【單選題】(10分)MichaelBayley,MarketingDirectorofUniPower’sElectricalDivision,isleadingastudytoidentifyandassesstherelativeimportanceofproductfeatures.MichaeldirectshisstafftodesignasurveyquestionnairefordistributiontoallofUniPower’s954customers.Forthisstudy,thesetof954customersisa________________.A.sampleB.statisticC.populationD.parameter2【單選題】(10分)ClaudiaTaylor,DirectorofGlobalIndustrialSalesinMelbourne,isconcernedbyadeterioratingsalestrend.Specifically,thenumberofcustomersisstableat1500buttheyarepurchasinglesseachyear.Sheordersherstafftosearchforcausesofthedownwardtrendbyselectingafocusgroupof40industrialcustomers.Forthisstudy,thesetof40industrialcustomersisa_______.A.populationB.statisticC.sampleD.parameter3【單選題】(10分)Apoliticianwhoisrunningfortheofficeofpremierinastatewith3millionregisteredvoterscommissionsasurvey.Inthesurvey,53.6%ofthe5000registeredvotersinterviewedsaytheyplantovoteforhim.ThepopulationofinterestistheA.46.4%of,or2320,votersinterviewedwhoplannottovoteforhimB.5000registeredvotersinterviewed.C.3millionregisteredvotersinthestate.D.53.6%of,or2680,votersinterviewedwhoplantovoteforhim4【單選題】(10分)SimonArnett,DirectorofHumanResources,isexploringthecausesofemployeeabsenteeismatBuderimBottlingduringthelastoperatingyear(1January2005to31December2005).Theaveragenumberofabsencesperemployee,calculatedfromthepersonneldataofallemployees,isa___________________.A.parameterB.populationC.sampleD.statistic5【單選題】(10分)AsummarymeasurethatiscomputedfromasampletodescribeacharacteristicofthepopulationiscalledA.astatisticB.apopulationC.aparameterD.BothAandCarecorrect,sincetheyarethesame6【單選題】(10分)SimonArnett,DirectorofHumanResources,isexploringthecausesofemployeeabsenteeismatBuderimBottlingduringthelastoperatingyear(1January2005to31December2005).Personnelrecordsof50employeesareselectedforanalysis.(Theplantemploys250.)Forthisstudy,theaveragenumberdaysabsentforthese50employeesisa________________.A.populationB.statisticC.parameterD.sample7【單選題】(10分)DescriptivestatisticsdealswithmethodsofA.presentingdatainaconvenientandinformativewayB.doingalloftheaboveC.summarisingdataD.organisingdata.8【單選題】(10分)Whichofthefollowingstatementsisnottrue?A.OneformofdescriptivestatisticsusesgraphicaltechniquesB.Inthelanguageofstatistics,thetermpopulationreferstoagroupofpeopleC.StatisticalinferenceisusedtodrawconclusionsorinferencesaboutcharacteristicsofpopulationsbasedonsampledataD.Oneformofdescriptivestatisticsusesnumericaltechniques9【單選題】(10分)Astudentachievesan82onthefirsttestinastatisticscourse.Fromthis,sheassumesthatheraverageattheendofthesemester(afterothertests)willbeabout82.Thisisanexampleof___________________.A.nonparametricstatisticsB.descriptivestatisticsC.inferentialstatisticsD.wishfulthinking10【單選題】(10分)Whichofthefollowingisnotthegoalofdescriptivestatistics?A.SummarisingdataB.EstimatingcharacteristicsofthepopulationC.ReportingnumericalfindingsD.Displayingaspectsofthecollecteddata第二章測試1【單選題】(10分)Ifdataaregroupedintointervalsandthenumberofitemsineachgroupislisted,thiscouldbecalleda_______________.A.histogramB.ogiveC.frequencydistributionD.stemandleafplot2【單選題】(10分)Iftheindividualclassfrequencyisdividedbythetotalfrequency,theresultisthe__________.A.midpointfrequencyB.stemandleafplotC.relativefrequencyD.cumulativefrequency3【單選題】(10分)Acumulativefrequencypolygonisalsocalled_______________.A.anogiveB.astemandleafplotC.ahistogramD.afrequencypolygon4【單選題】(10分)Thenumberofclassintervalsinafrequencydistributionisusuallybetween___________.A.7and9B.5and15C.3and5D.1and255【單選題】(10分)Oneadvantageofastemandleafplotoverafrequencydistributionisthat__________.A.thevaluesoftheoriginaldataareretainedB.theclassmidpointsareusedastheleafC.itcontainsmoreclassintervalsD.theclassmidpointsareusedasthestem6【單選題】(10分)Onerulethatmustalwaysbefollowedinconstructingfrequencydistributionsisthat________.A.eachdatapointcanonlyfallintooneclassB.thenumberofintervalsmustbeanoddnumberC.thenumberofclassesmustbelessthan10D.thewidthofeachclassisequaltotherange7【單選題】(10分)Whichofthefollowingisbesttoshowthepercentageofatotalbudgetthatisspentoneachcategoryofitems?A.histogramB.piechartC.ogiveD.stemandleafchart8【單選題】(10分)Acumulativefrequencydistributionwouldprovide_____________.A.agraphofafrequencydistributionB.averycloudypictureofthefrequenciesC.arunningtotalofthefrequenciesintheclassesD.theproportionofthetotalfrequencieswhichfallintoeachclass9【單選題】(10分)Thenumberofphonecallsarrivingataswitchboardeachhourhasbeenrecordedandthefollowingfrequencydistributionhasbeendeveloped.ClassIntervalFrequency20-under403040-under604560-under808080-under10045Whatisthecumulativefrequencyofthethirdclass?A.155B.80C.75D.0.4010【單選題】(10分)Thenumberofphonecallsarrivingataswitchboardeachhourhasbeenrecordedandthefollowingfrequencydistributionhasbeendeveloped.ClassIntervalFrequency20-under403040-under604560-under808080-under10045Whatistheapproximaterangeofthenumberofphonecallsarrivingeachhour?A.100B.20C.80D.200第三章測試1【單選題】(10分)SimonArnett,DirectorofHumanResources,isexploringemployeeabsenteeismattheBuderimBottlingduringthelastoperatingyear.Asampleofsixpersonnelrecordsproducedthefollowingdata:0,2,4,7,2,9.Thevarianceofthenumberabsencesperemployeeis____________.A.3.11B.3.41C.9.67D.11.62【單選題】(10分)JessicaSalas,ManagingDirectorofSalasProducts,isreviewingthewarrantypolicyforhercompany’snewmodelofcarbatteries.Lifetestsperformedonasampleof100batteriesindicated:(1)anaveragelifeof75months,(2)astandarddeviationof5months,and(3)batterylifeisapproximatelynormallydistributed.Approximately68%ofthebatterieswilllastbetween________________.A.65and85monthsB.60and90monthsC.70and80monthsD.55and95months3【單選題】(10分)Theaveragestartingsalaryforgraduatesatauniversityis$25,000withastandarddeviationof$2000.AhistogramofthedatashowstheshapetobeveryerraticsoChebyshev’sTheoremshouldbeused.Howmanyofthegraduateswouldhaveastartingsalarybetween21,000and29,000?A.atleast89%B.atleast95%C.atleast68%D.atleast75%4【單選題】(10分)Thesamplestandarddeviationisfoundbytakingthesquarerootof_______.A.themeanabsolutedeviationB.thesamplemeanC.thesamplevarianceD.thecoefficientofvariation5【單選題】(10分)Thenumberofstandarddeviationsthatavalue(X)isaboveorbelowthemeanisthe_______.A.ZscoreB.absolutedeviationC.interquartilerangeD.coefficientofvariation6【單選題】(10分)Inahistogram,theproportionofthetotalareathatmustbetotheleftofthemedianis（）A.lessthan0.50ifthedistributionisskewedtotheleftB.exactly0.50.C.morethan0.50ifthedistributionisskewedtotherightD.between0.25and0.60ifthedistributionissymmetricandunimodal7【單選題】(10分)WhichofthefollowingisNOTameasureofcentraltendency?A.modeB.medianC.meanD.variance8【單選題】(10分)Anothertermforaverageis____________.A.modeB.meanC.varianceD.median9【單選題】(10分)Ifthemeanofadistributionisgreaterthanthemedian,thenthedistributionis____________.A.skewedtotheleftB.notskewedC.skewedtotherightD.symmetricalaboutitsmean10【判斷題】(10分)Themeanisnotaffectedbytheextremevalues.A.對B.錯第四章測試1【單選題】(10分)Aprocessthatproducesoutcomesiscalled_______.A.aneventB.populationequivalentC.anexperimentD.aresult2【單選題】(10分)WhichofthefollowingisNOTalegitimateprobabilityvalue?A.0.67B.4/3C.0.23D.15/163【單選題】(10分)Anoutcomeofanexperimentiscalled_______.A.apriorielementsB.aprobabilityC.acomplementD.anevent4【單選題】(10分)Thelistofallelementaryeventsforanexperimentiscalled_______.A.thepopulationspaceB.theeventunionC.thesamplespaceD.theexhaustivelist5【單選題】(10分)IfAandBaremutuallyexclusiveeventswithP(A)=0.70,thenP(B)：（）A.cantakeanyvaluebetween0and0.70B.cannotbedeterminedfromtheinformationgivenC.cantakeanyvaluebetween0and1D.cannotbelargerthan0.306【單選題】(10分)IfaneventisinsetXbutisnotinsetY,whichofthefollowingistrue?A.itisintheintersectionofXandYB.itisinboththeunionandintersectionofXandYC.itisnotintheunionofXandYD.itisintheunionofXandY7【單選題】(10分)Iftheoccurrenceofoneeventdoesnotaffecttheoccurrenceofanotherevent,thenthetwoeventsare_______.A.mutuallyexclusiveB.complementsC.independentD.elementaryevents8【單選題】(10分)LetAbetheeventthatastudentisenrolledinanaccountingcourse,andletSbetheeventthatastudentisenrolledinastatisticscourse.Itisknownthat30%ofallstudentsareenrolledinanaccountingcourseand40%ofallstudentsareenrolledinstatistics.Includedinthesenumbersare15%whoareenrolledinbothstatisticsandaccounting.FindP(S).A.0.55B.0.15C.0.40D.0.309【單選題】(10分)GivenP(A)=0.40,P(B)=0.50,P(AB)=0.15.Whichofthefollowingistrue?A.AandBareindependentB.AandBarenotindependentC.AandBaremutuallyexclusiveD.AandBarecollectivelyexhaustive10【單選題】(10分)MeaganDaviesmanagesaportfolioof200commonstocks.Herstaffclassifiedtheportfoliostocksby‘industrysector’and‘investmentobjective’.InvestmentIndustrySectorObjectiveElectronicsAirlinesHealthcareTotalGrowth1001040150Income20201050Total1203050200WhichofthefollowingisNOTtrue?A.AirlinesandHealthcarearecollectivelyexhaustive.B.GrowthandIncomearecomplementaryevents.C.ElectronicsandGrowtharedependent.D.ElectronicsandHealthcarearemutuallyexclusive.第五章測試1【單選題】(10分)Variableswhichtakeonvaluesonlyatcertainpointsoveragivenintervalarecalled_______.A.valuevariablesB.pointvariablesC.continuousrandomvariablesD.discreterandomvariables2【單選題】(10分)Avariablethatcantakeonvaluesatanypointoveragivenintervaliscalled_______.A.acontinuousrandomvariableB.apointvariableC.avaluevariableD.adiscreterandomvariable3【單選題】(10分)Youareofferedaninvestmentopportunity.Itsoutcomesandprobabilitiesarepresentedinthefollowingtable.XP(X)–$1000.40$0.20+$1000.40Themeanofthisdistributionis_____________.A.$0B.$200C.$400D.–$4004【單選題】(10分)Youareofferedaninvestmentopportunity.Itsoutcomesandprobabilitiesarepresentedinthefollowingtable.XP(X)–$1000.40$0.20+$1000.40Thestandarddeviationofthisdistributionis_____________.A.$800,000B.$894C.$663D.–$4005【單選題】(10分)Thelong-runaverageormeanofaPoissondistributionisusuallyreferredtoas_______.A.sB.mC.aD.l6【單選題】(10分)ThevarianceofaPoissondistributionisequalto_______.A.B.l2C.l/2D.l7【單選題】(10分)IfXisabinomialrandomwithn=8andp=0.6,whatistheprobabilitythatXislessthanorequalto2?A.0.050B.0.009C.0.375D.0.0418【單選題】(10分)IfXisabinomialrandomwithn=8andp=0.6,whatistheprobabilitythatXisgreaterthan2?A.0.124B.0.011C.0.950D.0.9919【單選題】(10分)Twenty-fiveitemsaresampled.Eachofthesehasthesameprobabilityofbeingdefective.Theprobabilitythatexactly2ofthe25aredefectivecouldbestbefoundby_______.A.usingtheexponentialdistributionB.usingthenormaldistributionC.usingthebinomialdistributionD.usingthePoissondistribution10【單選題】(10分)Youareofferedaninvestmentopportunity.Itsoutcomesandprobabilitiesarepresentedinthefollowingtable.XP(X)–$1000.40$0.20+$1000.40Whichofthefollowingstatementsistrue?A.Thisdistributionisskewedtotheright.B.Thisdistributionissymmetric.C.Thisdistributionisskewedtotheleft.D.Thisisabinomialdistribution.第六章測試1【單選題】(10分)Thenormaldistributionisanexampleof_______.A.adiscretedistributionB.acontinuousdistributionC.anexponentialdistributionD.abimodaldistribution2【單選題】(10分)Thetotalareaunderneathanynormalcurveis_______.A.equalto1B.equaltothecoefficientofvariationC.equaltothevarianceD.equaltothemean3【單選題】(10分)Theareatotheleftofthemeaninanynormaldistributionis_______.A.equalto0.5B.equaltothevarianceC.equaltothemeanD.equalto14【單選題】(10分)Foranynormaldistribution,anyvaluelessthanthemeanwouldhavea_______.A.negativevarianceB.negativez-scoreC.negativeprobabilityofoccurringD.positivez-score5【單選題】(10分)Astandardisednormaldistributionhasthefollowingcharacteristics:A.themeanandvariancearebothequalto0B.hemeanandvariancearebothequalto1C.themeanisequalto0andthevarianceisequalto1D.themeanisequaltothevariance6【單選題】(10分)IfXisanormalrandomvariablewithmean80andstandarddeviation5,calculatethez-scoreifX=88.A.1.8B.-1.6C.-1.8D.1.67【單選題】(10分)SupposeXisanormalrandomvariablewithmean60andstandarddeviation2.Az-scorewascalculatedforanumber,andthez-scoreis3.4.Whatisx?A.56.6B.66.8C.53.2D.63.48【單選題】(10分)LetXbeanormalrandomvariablewithmean20andstandarddeviation4.FindP(16<X<22).A.0.5328B.0.0328C.0.1498D.0.46729【單選題】(10分)LetXbeanormalrandomvariablewithmean20andstandarddeviation4.The90thpercentileofXis____________.A.20.000B.26.579C.25.126D.22.69810【單選題】(10分)Az-scoreisthenumberof__________thatavalueisfromthemean.A.variancesB.standarddeviationsC.milesD.units第七章測試1【單選題】(10分)Asageneralrule,thenormaldistributionisusedtoapproximatethesamplingdistributionofthesamplemeanonlyifA.npandn(1–p)arebothgreaterthan5B.thesamplemeaniscloseto0.50.C.thesamplesizenissufficientlylargeD.theunderlyingpopulationisnormal2【單選題】(10分)TheeightemployeesoftheArtDepartmentandtheir‘yearsofexperience’arelistedinthefollowingtable.EmployeeABCDEFGHExperience(years)1021115748Ifasampleofthreeemployeesisselectedwithreplacement,thenumberofelementaryoutcomesinthesamplespaceis_______________.A.56B.512C.336D.643【單選題】(10分)Asamplingdistributionisadistributionof_______________.A.excessprofitstoselectedshareholders.B.apopulationparameter,suchas,μ.C.apopulationattribute,suchas,employee’sage.D.asamplestatistic,suchas,4【單選題】(10分)Thestandarddeviationofasamplingdistributioniscommonlycalled_______.A.statisticalmargin.B.thestandarderror.C.theuniformspread.D.statisticalleverage.5【單選題】(10分)Thecentrallimittheoremstatesthatifnislargeenough,thedistributionofthesamplemeansis_____________distributedregardlessoftheshapeofthepopulation.A.uniformlyB.randomlyC.nonrandomlyD.approximatelynormally6【單選題】(10分)Accordingtothecentrallimittheorem,themeanofthesamplemeansforagivensizeofsampleisequalto_______.A.thepopulationmeanB.zeroC.thepopulationmeandividedbynD.thepopulationmeandividedbythesquarerootofn7【單選題】(10分)Increasingthesamplesizecausesthestandarderrorofthemeanto________.A.decreaseinvalueB.increaseinvalueC.seekmarketequilibriumD.destabiliseinvalue8【單選題】(10分)Increasingthesamplesizecausesthesamplingdistributionofto________.A.havemoredispersionB.shifttotherightC.havelessdispersionD.shifttotheleft9【單選題】(10分)Supposeapopulationhasameanof90andastandarddeviationof28.Ifarandomsampleofsize49isdrawnfromthepopulation,theprobabilityofdrawingasamplewithameanofmorethan95is_______.A.0.3944B.0.8944C.0.1056D.0.428610【單選題】(10分)Suppose40%ofalluniversitystudentshaveacomputerathomeandasampleof64istaken.Whatistheprobabilitythatmorethan30ofthoseinthesamplehaveacomputerathome?A.0.8686B.0.1314C.0.3686D.0.6314第八章測試1【單選題】(10分)Whenarangeofvaluesisusedtoestimateapopulationparameter,itiscalled_______.A.astatisticalparameterB.arangeestimateC.apointestimateD.anintervalestimate2【單選題】(10分)CatherineCho,DirectorofMarketingResearchatVitalglowPtyLtd,isevaluatingconsumeracceptanceofanewtoothpastepackage.Herstaffreportthat17%ofarandomsampleof200Darwinhouseholdspreferthenewpackagetoallotherpackagedesigns.IfCatherineconcludesthat17%ofallhouseholdspreferthenewpackage,sheisusinga_______.A.arangeestimateB.anintervalestimateC.apointestimateD.astatisticalparameter3【單選題】(10分)Thez-valueassociatedwithatwo-sided90%confidenceintervalis_______.A.1.645B.2.575C.1.28D.1.964【單選題】(10分)Supposearandomsampleof36isselectedfromapopulationwithastandarddeviationof12.Ifthesamplemeanis98,the99%confidenceintervaltoestimatethepopulationmeanis_______.A.97.35to98.65B.93.34to102.66C.92.85to103.15D.94.08to101.925【單選題】(10分)SamGates,MarketingDirectorofMansfieldMotors’ElectricalDivision,isleadingastudytoassesstherelativeimportanceofproductfeatures.Anitemonasurveyquestionnairedistributedto121Mansfieldcustomersaskedthemtoratetheimportanceof‘easeofmaintenance’onascaleof1to10(with1meaning‘notimportant’and10meaning‘highlyimportant’).Hisstaffassembledthefollowingstatistics.EaseofMaintenanceMean7.5PopulationStandardDeviation1.1The90%confidenceintervalforthepopulationmeanratingof‘easeofmaintenance’is_____.A.5.69to9.31B.7.30to7.70C.7.34to7.66D.5.34to9.666【單選題】(10分)Aresearcherwantstoestimatetheproportionofthepopulationwhichpossessagivencharacteristic.Arandomsampleofsize600istakenresultingin330itemswhichpossessthecharacteristic.Thepointestimateforthispopulationproportionis_______.A.0.33B.0.60C.0.45D.0.557【單選題】(10分)Thet-distributionissimilartoanormaldistribution.Howeverthet-distributionis_______.A.notsymmetricB.flatterC.bimodalD.discrete8【單選題】(10分)Inordertofindvaluesinthet-distributiontable,youmustconvertthesamplesizeorsizesto_______.A.degreesoffreedomB.studentvaluesC.populationsizesD.z-values9【單選題】(10分)Ifthedegreesoffreedominat-distributionbecomeverylarge,_______.A.thet-valuesandthez-valuesarealmostthesameB.thepopulationsizemustbeverylargeC.thesamplemeanapproacheszeroD.thesamplesizemustbeverysmall10【單選題】(10分)Infindingaconfidenceintervalforthepopulationmean,thepopulationstandarddeviationshouldbeusedifitisknown.Ifthepopulationstandarddeviationisnotknown,thenitshouldbeestimatedwith_______.A.themeanB.thesamplevarianceC.therangeD.thesamplestandarddeviation第九章測試1【單選題】(10分)Thefirststepintestingahypothesisistoestablish_______.A.anindirecthypothesisB.anotrejectancehypothesisandarejectionhypothesisC.apowerfunctionD.anullhypothesisandalternativehypothesis2【單選題】(10分)Considerthefollowingnullandalternativehypotheses.Ho:m<=7Ha:m>6Thesehypotheses_______________.A.donotreferenceapopulationparameterB.areestablishedcorrectlyC.arenotmutuallyexclusiveD.arenotcollectivelyexhaustive3【單選題】(10分)Considerthefollowingnullandalternativehypotheses.

Ho:m>=7

Ha:m<6Thesehypotheses_______________.A.areestablishedcorrectlyB.donotreferenceapopulationparameterC.arenotmutuallyexclusiveD.arenotcollectivelyexhaustive4【單選題】(10分)Considerthefollowingnullandalternativehypotheses.Ho:￡352

Ha:>352

Thesehypotheses_______________.A.arenotmutuallyexclusiveB.areestablishedcorrectlyC.arenotcollectivelyexhaustiveD.donotreferenceapopulationparameter5【單選題】(10分)Theregionofthedistributioninhypothesistestinginwhichthenullhypothesisisrejectediscalledthe_______.A.rejectionregionB.notrejectanceregionC.alternativeregionD.nullregion6【單選題】(10分)Therejectionandnotrejectanceregionsaredividedbyapointcalledthe_______.A.dividingpointB.notrejectancevalueC.criticalvalueD.rejectionvalue7【單選題】(10分)TheprobabilityofcommittingaTypeIIerrorisrepresentedby_______.A.1–aB.a/2C.aD.b8【單選題】(10分)JenniferCantu,CustomerServicesManageratTri-NationAutoInsurance,monitorstheclaimsprocessingtimeoftheclaimsdivision.Herstandardincludes‘a(chǎn)meanprocessingtimeof5daysorless’.Eachweek,herstaffchecksforcompliancebyanalysingarandomsampleof60claims.Jennifer’salternativehypothesisis________.A.n=60B.>5C.5D.<59【單選題】(10分)Themanufacturersofadeodorantclaimthatthemeandryingtimeoftheirproductis,atmost,15minutes.Asampleconsistingof16cansoftheproductwasusedtotestthemanufacturer’sclaim.Theexperimentyieldedameandryingtimeof18minuteswithastandarddeviationof6minutes.Testtheclaimatthe0.05significancelevel.A.Computedteststatistic=2andisgreaterthan1.645,sorejectH0:μ≤15.B.Computedteststatistic=2andisgreaterthan1.753,sorejectH0:μ=15.C.Computedteststatistic=2andisgreaterthan1.96,sorejectH0:μ≤15.D.Computedteststatistic=2andisgreaterthan2.131,sorejectH0:μ≤15.10【單選題】(10分)Whathappenstotherejectionregionifthelevelofsignificanceischangedfrom0.10to0.05?A.itdoesnotchangeB.itgetssmallerC.itgetslarger第十章測試1【單選題】(10分)Restaurateur,DanielValentine,isevaluatingtwosites,PortDouglasandMissionBeach,forhisnextrestaurant.HewantstoprovethatPortDouglasresidents(population1)dineoutmoreoftenthanMissionBeachresidents(population2).Dennyplanstotestthishypothesisusingarandomsampleof81familiesfromeachtown.Hisnullhypothesisis__________.A.m1–m2

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0B.p1–p2=0C.s12<s22D.m1≤m22【單選題】(10分)Aresearcherwantstoestimatethedifferenceinthemeansoftwopopulations.Arandomsampleof36itemsfromthefirstpopulationresultsinasamplemeanof430.Arandomsampleof49itemsfromthesecondpopulationresultsinasamplemeanof460.Thepopulationstandarddeviationsare120forthefirstpopulationand140forthesecondpopulation.Fromthisinformation,apointestimateofthedifferenceofpopulationmeanscanbecalculatedas_______.A.43B.-30C.46D.-133【單選題】(10分)Aresearcherwantstoestimatethedifferenceinthemeansoftwopopulations.Arandomsampleof36itemsfromthefirstpopulationresultsinasamplemeanof430.Arandomsampleof49itemsfromthesecondpopulationresultsinasamplemeanof460.Thepopulationstandarddeviationsare120forthefirstpopulationand140forthesecondpopulation.Fromthisinformation,a95%confidenceintervalforthedifferenceinpopulationmeansis_______.A.85.44to25.44B.–95.90to35.90C.–102.83to42.43D.–76.53to16.534【單選題】(10分)Aresearcherisinterestedintestingtodetermineifthemeanofpopulationoneisgreaterthanthemeanofpopulationtwo.Thenullhypothesisisthatthereisnodifferenceinthepopulationmeans(i.e.thedifferenceiszero).Thealternativehypothesisisthatthereisadifference(i.e.thedifferenceisnotequaltozero).Herandomlyselectsasampleof9itemsfrompopulationoneresultinginameanof14.3andastandarddeviationof3.4.Herandomlyselectsasampleof14itemsfrompopulationtworesultinginameanof11.8andastandarddeviation2.9.Heisusinganalphavalueof.10toconductthistest.Assumingthatthepopulationsarenormallydistributed,thedegreesoffreedomforthisproblemare_______.A.2B.23C.15D.225【單選題】(10分)Aresearcherwantstoconductabefore/afterstudyon11subjectstodetermineifatreatmentresultsinanydifferenceinscores.Thenullhypothesisisthattheaveragedifferenceiszerowhilethealternativehypothesisisthattheaveragedifferenceisnotzero.Scoresareobtainedonthesubjectsbothbeforeandafterthetreatment.Aftersubtractingtheafterscoresfromthebeforescores,theaveragedifferenceiscalculatedtobe–2.40withasamplestandarddeviationof1.21.Assumethatthedifferencesarenormallydistributedinthepopulation.Thedegreesoffreedomforthistestare_______.A.11B.10C.9D.206【單選題】(10分)Aresearcherisperformingatwo-tailedrelatedsamples(matchedpairs)t-test.Atotalof12peopleareinthesample,andbeforeandaftermeasuresaretaken.Theobservedt-valueforthisis–1.84.Thelevelofsignificanceis0.05.Thecorrectdecisionisto_______.A.usethez-tableinsteadofthet-tableB.takealargersampleC.donotrejectthenullhypothesisD.rejectthenullhypothesis7【單選題】(10分)StefanIrwin,MarketingManageratClassicMerchandise,isinvestigatingresponseratestoscentedandunscenteddirectmailcatalogues.Iftheresponserateforthescentedcatalogue(population1)ishigher,Mikewilladoptthescentedversion.Hisstaffrandomlyselectstwosamplesof200eachfromthecompany’scustomerdatabase.Onemonthafterthe400testcataloguesweremailed,forty-fiveorders(twenty-fivefromthescentedandtwentyfromtheunscented)werereceivedfromthetestcatalogues.Assuminga

=.01,Mike’salternatehypothesisis________________.A.p1–p2>0B.m1–μ2≠0C.m1–m2=0D.s12<s228【單選題】(10分)CowraConstructionCompanypurchasessteelrodsforitsprojects.Basedonprevioustests,ClarrieCarter,QualityAssuranceManager,hasrecommendedpurchasingrodsfromReddingRods(population1),ratherthanStocktonSteel(population2),sinceRedding’srodshadlessvariabilityinlength.Recently,Stocktonreviseditrodshearingoperation,andClarriehassampledtheoutputsfromRedding’sandStockton’srodmanufacturingprocesses.TheresultsforReddingweres12=0.10withn1=8,and,forStockton,theresultsweres22=0.05withn2=10.Assumethatrodlengthsarenormallydistributedinthepopulation.Clarrie’salternatehypothesisis__________________.A.s12

≠

s22B.s12

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s22C.s12

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s22D.s12

=

s229【單選題】(10分)TamaraHill,FundManagerwithHillcrestValueFund,managesaportfolioof250commonstocks.Tamaraissearchingfora‘lowrisk’issuetoaddtotheportfolio,i.e.onewithapricevariancelessthanthatoftheS&P500index.Moreover,sheassumesanissueisnot‘lowrisk’untildemonstratedotherwise.HerstaffreportedthatduringthelastninequartersthepricevariancefortheS&P500index(population1)was25,andforthelastsevenquartersthepricevarianceforXYCcommon(population2)was8.Assumethatstockpricesarenormallydistributedinthepopulation.Using

a

=0.05,theappropriatedecisionis_______.A.donotrejectthenullhypothesis

s12

=

s22B.donotrejectthenullhypothesis

s12

1

s22C.rejectthenullhypothesiss12

=

s22D.ejectthenullhypothesiss12

1

s2210【單選題】(10分)CindyHo,FinanceManageratRedHillRadiatorSupplies(RHRS),theorisesthatthediscountlevelofferedtocreditcustomersaffectstheaveragecollectionperiodoncreditsales.Accordingly,shehasdesignedanexperimenttotesthertheoryusingfoursalesdiscountrates(0%,2%,4%and6%)byrandomlyassigningfivecustomerstoeachsalesdiscountrate.AnanalysisofCindy’sdatapro