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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