Archives

Ch.1 DataCollection 1.1 IntroductiontothePracticeofStatistics 1 Definestatisticsandstatisticalthinking. SHORTANSWER.Writethewordorphrasethatbestcompleteseachstatementoranswersthequestion. Provideanappropriateresponse. 1) Whatisstatistics? MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. 2) Whichofthefollowingisnottrueofstatistics? A) Statisticsisusedtoanswerquestionswith100%certainty. B) Statisticsinvolvescollectingandsummarizingdata. C) Statisticscanbeusedtoorganizeandanalyzeinformation. D) Statisticsisusedtodrawconclusionsusingdata. 2 Explaintheprocessofstatistics. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Determinewhethertheunderlinedvalueisaparameterorastatistic. 1) InasurveyconductedinthetownofAtherton,25% ofadultrespondentsreportedthattheyhadbeeninvolved inatleastonecaraccidentinthepasttenyears. A) statistic B) parameter 2) 28.2%ofthemayorsofcitiesinacertainstatearefromminoritygroups. A) parameter B) statistic 3) […]

Ch.2 OrganizingandSummarizingData 2.1 OrganizingQualitativeData 1 Organizequalitativedataintables. SHORTANSWER.Writethewordorphrasethatbestcompleteseachstatementoranswersthequestion. Provideanappropriateresponse.Roundrelativefrequenciestothousandths. 1) ScottTarnowskiownsapetgroomingshop.Hispricesforgroomingdogsarebasedonthesizeofthedog.His recordsfromlastyeararesummarizedbelow.Constructafrequencydistributionandarelativefrequency distribution.Showthepercentagerepresentedbyeachrelativefrequency. Class Frequency Large 345 Medium 830 Small 645 2) Theresultsofasurveyaboutarecentjudicialappointmentaregiveninthetablebelow.Constructarelative frequencydistribution. Response Frequency StronglyFavor 25 Favor 26 Neutral 8 Oppose 22 StronglyOppose 119 3) ThepreschoolchildrenatElmwoodElementarySchoolwereaskedtonametheirfavoritecolor.Theresultsare listedbelow.Constructafrequencydistributionandarelativefrequencydistribution. yellow yellow […]

Ch.3 NumericallySummarizingData 3.1 MeasuresofCentralTendency 1 Determinethearithmeticmean,median,andmodeofavariablefromrawdata. SHORTANSWER.Writethewordorphrasethatbestcompleteseachstatementoranswersthequestion. Provideanappropriateresponse. 1) Findthemean,median,andmodeofthefollowingstatisticstudentsʹtestscores: 71 74 67 71 64 72 71 65 66 69 2) Calculatethemean,median,andmodeforthefollowingsample:5,10,6,11,1 , 1 , 10,1. 3) Calculatethemean,median,andmodeforthefollowingsample:5,10,6,100,0,0,10,0. 4) Thehightemperatures(indegreesCelsius)eachdayoverathreeweekperiodwereasfollows:17,18,20,22, 21,19,16,15,18,20,21,21,22,21,19,20,19,17,16,16,17.Computethemean,median,andmode. 5) Inasampleof18studentsatEastHighSchoolthefollowingnumberofdaysofabsenceswererecordedforthe previoussemester:4,3,1,0,4,2,3,0,1,2,3,0,4,1,1,5,1,1.Computethemean,median,andmode. 6) Thenumberofgoalsscoredbyarandomsampleof16hockeyplayersforagivenseasonare5,3,21,10,7,2,0, 30,19,6,4,7,10,5,7,and24.Computethemean,median,andmode. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. 7) Theheightsoftenfemalestudents(ininches)inacollegemathclassarelistedbelow.Findthemean. […]

Ch.4 DescribingtheRelationbetweenTwoVariables 4.1 ScatterDiagramsandCorrelation 1 Drawandinterpretscatterdiagrams. SHORTANSWER.Writethewordorphrasethatbestcompleteseachstatementoranswersthequestion. Constructascatterdiagramforthedata. 1) Thedatabelowarethefinalexamscoresof10randomlyselectedhistorystudentsandthenumberofhours theystudiedfortheexam. Hours,x Scores,y 3 65 5 80 2 60 8 88 2 66 4 78 4 85 5 90 6 90 3 71 x y x y 2) Thedatabelowarethetemperaturesonrandomlychosendaysduringasummerclassandthenumberof absencesonthosedays. […]

Ch.5 Probability 5.1 ProbabilityRules 1 Applytherulesofprobabilities. SHORTANSWER.Writethewordorphrasethatbestcompleteseachstatementoranswersthequestion. Provideanappropriateresponse. 1) Identifythesamplespaceoftheprobabilityexperiment:tossingacoin 2) Identifythesamplespaceoftheprobabilityexperiment:answeringatrueorfalsequestion 3) Identifythesamplespaceoftheprobabilityexperiment:tossingfourcoinsandrecordingthenumberofheads 4) Identifythesamplespaceoftheprobabilityexperiment:answeringamultiplechoicequestionwithA,B,C,D andEasthepossibleanswers 5) Identifythesamplespaceoftheprobabilityexperiment:determiningthepuppieʹsgenderforalitterofthree puppies(UseMformaleandFforfemale.) MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. 6) WhichofthefollowingprobabilitiesforthesamplepointsA,B,andCcouldbetrueifA,B,andCaretheonly samplepointsinanexperiment? A) P(A)=0,P(B)=1/4 , P(C)=3 / 4 B) P(A)=1/10 , P(B)=1/5 , P(C)=1/4 C) P(A)=–1/4,P(B)=1/2,P(C)=3/4 D) P(A)=1/8 […]

Ch.6 DiscreteProbabilityDistributions 6.1 DiscreteRandomVariables 1 Distinguishbetweendiscreteandcontinuousrandomvariables. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Classifythefollowingrandomvariableaccordingtowhetheritisdiscreteorcontinuous. 1) thenumberofbottlesofjuicesoldinacafeteriaduringlunch A) discrete B) continuous 2) theheightsofthebookcasesinaschoollibrary A) continuous B) discrete 3) thecostofaroadatlas A) discrete B) continuous 4) thepressureofwatercomingoutofafirehose A) continuous B) discrete 5) thetemperatureindegreesCelsiusonJanuary1stinFargo,NorthDakota A) continuous B) discrete 6) thenumberofgoalsscoredinahockeygame […]

Ch.7 TheNormalProbabilityDistribution 7.1 PropertiesoftheNormalDistribution 1 Usetheuniformprobabilitydistribution. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Provideanappropriateresponse. 1) HightemperaturesinacertaincityforthemonthofAugustfollowauniformdistributionovertheinterval64°F to92°F.WhatistheprobabilitythatarandomlyselectedAugustdayhasahightemperaturethatexceeded 69°F? A) 0.8214 B) 0.1786 C) 0.4423 D) 0.0357 2) HightemperaturesinacertaincityforthemonthofAugustfollowauniformdistributionovertheinterval73°F to103°F.Findthehightemperaturewhich90%oftheAugustdaysexceed. A) 76°F B) 100°F C) 83°F D) 103°F 3) Thediameterofballbearingsproducedinamanufacturingprocesscanbeexplainedusingauniform distributionovertheinterval7.5to9.5millimeters.Whatistheprobabilitythatarandomlyselectedball bearinghasadiametergreaterthan8.6millimeters? A) 0.45 B) 0.9053 C) […]

Ch.8 SamplingDistributions 8.1 DistributionoftheSampleMean 1 Describethedistributionofthesamplemean:normalpopulation. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Determineμxandσxfromthegivenparametersofthepopulationandthesamplesize.Roundtheanswertothe nearestthousandthwhereappropriate. 1) μ=54 , σ=32 , n=64 A) μx=54 , σx=4B)μx =54 , σx =32 C) μx=54 , σx=0.5 D) μx =6.75 , σx =4 2) μ=28 , σ=8 , n=22 A) […]

Ch.9 EstimatingtheValueofaParameter 9.1 EstimatingaPopulationProportio n 1 Obtainapointestimateforthepopulationproportion. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Provideanappropriateresponse. 1) When385juniorcollegestudentsweresurveyed,170 saidthattheyhavepreviouslyownedamotorcycle.Find apointestimateforp,thepopulationproportionofstudentswhohavepreviouslyownedamotorcycle. A) 0.442 B) 0.558 C) 0.791 D) 0.306 2) Asurveyof100fatalaccidentsshowedthatin43 casesthedriveratfaultwasinadequatelyinsured.Finda pointestimateforp,thepopulationproportionofaccidentswherethedriveratfaultwasinadequatelyinsured A) 0.43 B) 0.57 C) 0.754 D) 0.301 3) Asurveyof700non–fatalaccidentsshowedthat143 involvedfaultyequipment.Findapointestimateforp, thepopulationproportionofaccidentsthatinvolvedfaultyequipment. A) 0.204 B) […]

Ch.10 HypothesisTestsRegardingaParameter 10.1 TheLanguageofHypothesisTesting 1 Determinethenullandalternativehypotheses. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Thenullandalternativehypothesesaregiven.Determinewhetherthehypothesistestisleft –tailed,right–tailed,or two–tailedandtheparameterthatisbeingtested. 1) H 0:μ=8.6 H1:μ≠8.6 A) Two–tailed,μ B) Two–tailed,xC) Right–tailed,μ D) Left–tailed,x 2) H 0:p=0.82 H1:p>0.82 A) Right–tailed,p B) Left–tailed,p C) Right–tailed,p ^ D) Left–tailed,p ^ 3) H 0:σ=8.6 H1:σ<8.6 A) […]

Ch.11 InferencesonTwoSamples 11.1 InferenceaboutTwoPopulationProportions 1 Distinguishbetweenindependentanddependentsampling. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Provideanappropriateresponse. 1) Classifythetwogivensamplesasindependentordependent. Sample1:Pre–trainingbloodpressureof15people Sample2:Post–trainingbloodpressureof15people A) dependent B) independent 2) Classifythetwogivensamplesasindependentordependent. Sample1:Theheightsininchesof27newbornfemales Sample2:Theheightsininchesof27newbornmales A) independent B) dependent 3) Classifythetwogivensamplesasindependentordependent. Sample1:Thescoresof16studentswhotookastatisticsfinal Sample2:Thescoresof16differentstudentswhotookaphysicsfinal A) independent B) dependent 4) Iftheindividualsselectedforasamplehavenoinfluenceuponwhichindividualsareselectedforasecond sample,thenthesamplesaresaidtobe A) independent B) dependent C) […]

Ch.12 InferenceonCategoricalData 12.1 Goodness–o f –FitTest 1 Performagoodness–of–fittest. MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion. Provideanappropriateresponse. 1) Determinetheexpectedcountsforeachoutcome. n=600 pi0.25 0.05 0.35 0.35 ExpectedCounts A) pi0.25 0.05 0.35 0.35 ExpectedCounts 150 30 210 210 B) pi0.25 0.05 0.35 0.35 ExpectedCounts 25 5 35 35 C) pi0.25 […]