APStatisticsMultipleChoiceExam统计选择题.docx
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APStatisticsMultipleChoiceExam统计选择题.docx
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APStatisticsMultipleChoiceExam统计选择题
2007-AP-Statistics-Multiple-Choice-Exam统计选择题
D
4.Independentrandomsamplesof100luxurycarsand250non-luxurycarsinacertaincityareexaminedtoseeiftheyhavebumperstickers.Ofthe250non-luxurycars,125havebumperstickersandofthe100luxurycars,30havebumperstickers.Whichofthefollowingisa90percentconfidenceintervalforthedifferenceintheproportionofnon-luxurycarswithbumperstickersandtheproportionofluxurycarswithbumperstickersfromthepopulationofcarsrepresentedbythesesamples?
(A)
(B)
(C)
(D)
(E)
5.Asafetygroupclaimsthatthemeanspeedofdriversonahighwayexceedsthepostedspeedlimitof65milesperhour(mph).Toinvestigatethesafetygroup'sclaim,whichofthefollowingstatementsisappropriate?
(A)Thenullhypothesisisthatthemeanspeedofdriversonthishighwayislessthan65mph.
(B)Thenullhypothesisisthatthemeanspeedofdriversonthishighwayisgreaterthan65mph.
(C)Thealternativehypothesisisthatthemeanspeedofdriversonthishighwayisgreaterthan65mph.
(D)Thealternativehypothesisisthatthemeanspeedofdriversonthishighwayislessthan65mph.
(E)Thealternativehypothesisisthatthemeanspeedofdriversonthishighwayisgreaterthanorequal
to65mph.
6.Afaircoinistobeflipped5times.Thefirst4flipsland"heads"up.Whatistheprobabilityof"heads"onthenext(5th)flipofthiscoin?
(A)
(B)
(C)
(D)
(E)
7.Thestemplotbelowshowstheyearlyearningspershareofstockfortwodifferentcompaniesoverasixteen-yearperiod.
CompanyACompanyB
058,75,96,98
92,91,90,82,78,43,38,26101,10,17,21,43,43,53,65,73
49,47,44,00209,27,29
73,27,05,023
Whichofthefollowingstatementsistrue?
(A)ThemedianoftheearningsofCompanyAislessthanthemedianoftheearningsoftheCompanyB.
(B)TherangeoftheearningsofCompanyAislessthantherangeoftheearningsofCompanyB.
(C)ThethirdquartileofCompanyAissmallerthanthethirdquartileofCompanyB.
(D)ThemeanoftheearningsofCompanyAisgreaterthanthemeanoftheearningsofCompanyB.
(E)TheinterquartilerangeofCompanyAistwicetheinterquartilerangeofCompanyB.
8.LetXrepresentarandomvariablewhosedistributionisnormal,withameanof100andastandarddeviationof10.WhichofthefollowingisequivalenttoP(X>115)?
(A)P(X<115)
(B)P(X≤115)
(C)P(X<85)
(D)P(85 (E)1-P(X<85) 9.Atelevisionnewseditorwouldliketoknowhowlocalregisteredvoterswouldrespondtothequestion,"Areyouinfavoroftheschoolbondmeasurethatwillbevotedoninanupcomingspecialelection? "Atelevisionsurveyisconductedduringabreakintheeveningnewsbylistingtwotelephonenumberssidebysideonthescreen,oneforviewerstocalliftheyapproveofthebondmeasure,andtheothertocalliftheydisapprove.Thissurveymethodcouldproducebiasedresultsforanumberofreasons.Whichoneofthefollowingisthemostobviousreason? (A)Itusesastratifiedsampleratherthanasimplerandomsample. (B)Peoplewhofeelstronglyabouttheissuearemorelikelytorespond. (C)Viewersshouldbetoldabouttheissuesbeforethesurveyisconducted. (D)Someregisteredvoterswhocallmightnotvoteintheelection. (E)Thewordingofthequestionisbiased. 10.Ahighschoolphysicsteacherwasconductinganexperimentwithhisclassonthelengthoftimeitwilltakeamarbletorolldownaslopedchute.Theclassranrepeatedtrialsinordertodeterminetherelationshipbetweenthelength,incentimeters,oftheslopedchuteandthetime,inseconds,forthemarbletorolldownthechute.Alinearrelationshipwasobservedandthecorrelationcoefficientwas0.964.Afterdiscussingtheirresults,theteacherinstructedthestudentstoconvertallofthelengthmeasurementstometersbutleavethetimeinseconds.Whateffectwillthishaveonthecorrelationofthetwovariables? (A)Becausethestandarddeviationofthelengthsinmeterswillbeonehundredthofthestandard deviationofthelengthsincentimeters,thecorrelationwilldecreasebyonehundredthto0.954. (B)Becausethestandarddeviationofthelengthsinmeterswillbeonehundredthofthestandard deviationofthelengthsincentimeters,thecorrelationwilldecreaseproportionallyto0.00964. (C)Becausechangingfromcentimeterstometersdoesnotaffectthevalueofthecorrelation,the correlationwillremain0.964. (D)Becauseonlythelengthmeasurementshavebeenchanged,thecorrelationwilldecrease substantially. (E)Becausemetersareamuchmorecommonmeasurementforlengthindeterminingspeed,thelinear relationshipofthedatawillbestrongerandthusthecorrelationwillincreasesubstantially. 11.Juliegeneratesasampleof20randomintegersbetween0and9inclusive.Sherecordsthenumberof6'sinthesample.Sherepeatsthisprocess99moretimes,recordingthenumberof6'sineachsample.Whatkindofdistributionhasshesimulated? (A)Thesamplingdistributionofthesampleproportionwithn=20andp=0.6 (B)Thesamplingdistributionofthesampleproportionwithn=100andp=0.1 (C)Thebinomialdistributionwithn=20andp=0.1 (D)Thebinomialdistributionwithn=100andp=0.1 (E)Thebinomialdistributionwithn=20andp=0.6 n Mean Median SampleI 21 42.6 45.0 SampleII 26 49.2 48.5 12.Thetableaboveshowsthesamplesize,themean,andthemedianfortwosamplesofmeasurements.Whatisthemedianforthecombinedsampleof47measurements? (A) (B) (C) (D) (E)Itcannotbedeterminedfromtheinformationgiven. 13.Dan,atraineratthePopularGym,wasinterestedincomparinglevelsofphysicalfitnessofstudentsattendinganearbycommunitycollegeandthoseattendinga4-yearcollegeintown.Heselectedarandomsampleof320studentsfromthecommunitycollege.Themeanandstandarddeviationoftheirfitnessscoreswere95and10,respectively.Danalsoselectedarandomsampleof320studentsfroma4-yearcollege.Themeanandstandarddeviationoftheirfitnessscoreswere 92and13,respectively.Hethenconductedatwo-sidedt-testthatresultedinat-valueof3.27.Whichofthefollowingisanappropriateconclusionfromthisstudy? (A)Becausethesamplemeansonlydifferedby3,thepopulationmeansarenotsignificantlydifferent. (B)Becausethesecondgrouphadalargerstandarddeviation,theirmeanfitnessscoreissignificantly higher. (C)Becausethesecondgrouphadalargerstandarddeviation,themeanfitnessscoreofthefirstgroup issignificantlyhigher. (D)Becausethep-valueislessthanα=0.05,themeanfitnessscoresforthetwogroupsofstudents aresignificantlydifferent. (E)Becausethep-valueisgreaterthanα=0.05,themeanfitnessscoresforthetwogroupsofstudents aresignificantlydifferent. 14.Aresearcherwishestotestanewdrugdevelopedtotreathypertension(highbloodpressure).Agroupof40hypertensivemenand60hypertensivewomenistobeused.Theexperimenterrandomlyassigns20ofthemenand30ofthewomentotheplaceboandassignstheresttothetreatment.Themajorreasonforseparateassignmentformenandwomenisthat (A)itisalargestudywith100subjects (B)thenewdrugmayaffectmenandwomendifferently (C)thenewdrugmayaffecthypertensiveandnonhypertensivepeopledifferently (D)thisdesignusesmatchedpairstodetectthenew-drugeffect (E)theremustbeanequalnumberofsubjectsinboththeplacebogroupandthetreatmentgroup. 15.Thehistogramsbelowrepresentthedistributionoffivedifferentdatasets,eachcontaining28integers,from1through7,inclusive.Thehorizontalandverticalscalesarethesameforallgraphs.Whichgraphrepresentsthedatasetwiththelargeststandarddeviation. (A)(B)(C) (D)(E) 16.LynnisplanningtoflyfromNewYorktoLosAngelesandwilltaketheAirtightAirlinesflightthatleavesat8A.M.TheWebsitesheusedtomakeherreservationstatesthattheprobabilitythattheflightwillarriveinLosAngelesontimeis0.70.Ofthefollowing,whichisthemostreasonableexplanationforhowthatprobabilitycouldhavebeenestimated? (A)Byusinganextendedweatherforecastforthedateofherflight,whichshoweda30%chanceof badweather (B)Bymakingassumptionsabouthowairplaneswork,andfactoringallofthoseassumptionsintoan equationtoarriveattheprobability (C)Fromthefactthat,ofallairlineflightsarrivinginCalifornia,70%arriveontime (D)Fromthefactthat,ofallairlineflightsintheUnitedStates,70%arriveontime (E)Fromthefactthat,onallpreviousdaysthisparticularflighthadbeenscheduled,ithadarrivedon time70%ofthosedays 17.Inanexperiment,twodifferentspeciesofflowerswerecrossbred.Theresultingflowersfromthiscrossbreedingexperimentwereclassified,bycolorofflowerandstigma,intooneoffourgroups,asshowninthetablebelow. FlowerTypeResultingfromCrossbreeding NumberofFlowersObservedwithTheseColors I: Magentalowerwithgreenstigma 115 II: Magentaflowerwithredstigma 49 III: Redflowerwithgreenstigma 32 IV: Redflowerwithredstigma 21 Abiologistexpectedthattheratioof9: 3: 3: 1fortheflowertypesI: II: III: IV,respectively,wouldresultfromthiscrossbreedingexperiment.Fromthedataabove,a valueofapproximately8.04wascomputed.Aretheobservedresultsinconsistentwiththeexpectedratioatthe5percentlevelofsignificance? (A)Yes,becausethecomputed valueisgreat
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