(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