statistics1bykeller.docx
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statistics1bykeller.docx
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statistics1bykeller
CHAPTER1
WHATISSTATISTICS
SECTIONS1-4
MULTIPLECHOICEQUESTIONS
Inthefollowingmultiple-choicequestions,pleasecirclethecorrectanswer.
1.Youaskedfiveofyourclassmatesabouttheirheight.Onthebasisofthisinformation,youstatedthattheaverageheightofallstudentsinyouruniversityorcollegeis65inches.Thisisanexampleof:
a.descriptivestatistics
b.statisticalinference
c.parameter
d.population
ANSWER:
b
2.Acompanyhasdevelopedanewcomputersoundcard,buttheaveragelifetimeisunknown.Inordertoestimatethisaverage,200soundcardsarerandomlyselectedfromalargeproductionlineandtestedandtheaveragelifetimeisfoundtobe5years.The200soundcardsrepresentthe:
a.parameter
b.statistic
c.sample
d.population
ANSWER:
c
3.Asummarymeasurethatiscomputedfromasampletodescribeacharacteristicofthepopulationiscalleda
a.parameter
b.statistic
c.population
d.sample
ANSWER:
b
4.Asummarymeasurethatiscomputedfromapopulationiscalleda
a.parameter
b.statistic
c.population
d.sample
ANSWER:
a
5.Whendataarecollectedinastatisticalstudyforonlyaportionorsubsetofallelementsofinterest,weareusinga:
a.sample
b.parameter
c.population
d.statistic
ANSWER:
a
6.Whichofthefollowingisnotthegoalofdescriptivestatistics
a.Summarizingdata
b.Displayingaspectsofthecollecteddata
c.Reportingnumericalfindings
d.Estimatingcharacteristicsofthepopulation
ANSWER:
d
7.Whichofthefollowingstatementsisnottrue
a.Oneformofdescriptivestatisticsusesgraphicaltechniques
b.Oneformofdescriptivestatisticsusesnumericaltechniques
c.Inthelanguageofstatistics,populationreferstoagroupofpeople
d.Statisticalinferenceisusedtodrawconclusionsorinferencesaboutcharacteristicsofpopulationsbasedonsampledata
ANSWER:
c
8.Descriptivestatisticsdealswithmethodsof:
a.organizingdata
b.summarizingdata
c.presentingdatainaconvenientandinformativeway
d.Alloftheabove
ANSWER:
d
9.Apoliticianwhoisrunningfortheofficeofgovernorofastatewith4millionregisteredvoterscommissionsasurvey.Inthesurvey,54%ofthe5,000registeredvotersinterviewedsaytheyplantovoteforher.Thepopulationofinterestisthe:
a.4millionregisteredvotersinthestate
b.5,000registeredvotersinterviewed
c.2,700votersinterviewedwhoplantovoteforher.
d.2,300votersinterviewedwhoplannottovoteforher
ANSWER:
a
10.Acompanyhasdevelopedanewbattery,buttheaveragelifetimeisunknown.Inordertoestimatethisaverage,asampleof500batteriesistestedandtheaveragelifetimeofthissampleisfoundtobe225hours.The225hoursisthevalueofa:
a.parameter
b.statistic
c.sample
d.population
ANSWER:
b
11.Theprocessofusingsamplestatisticstodrawconclusionsabouttruepopulationparametersiscalled
a.inferentialstatistics
b.thescientificmethod
c.samplingmethod
d.descriptivestatistics
ANSWER:
a
12.Whichofthefollowingismostlikelyapopulationasopposedtoasample
a.Respondentstoamagazinesurvey
b.Thefirst10studentscompletingafinalexam
c.Everyfifthstudenttoarriveatthebookstoreonyourcampus
d.RegisteredvotersintheStateofMichigan
ANSWER:
d
13.Researcherssuspectthattheaveragenumberofcreditsearnedpersemesterbycollegestudentsisrising.AresearcheratMichiganStateUniversity(MSU)wishedtoestimatethenumberofcreditsearnedbystudentsduringthefallsemesterof2003atMSU.Todoso,herandomlyselects500studenttranscriptsandrecordsthenumberofcreditseachstudentearnedinthefallterm2003.Hefoundthattheaveragenumberofsemestercreditscompletedwascreditsperstudent.Thepopulationofinteresttotheresearcheris
a.allMSUstudents
b.allcollegestudentsinMichigan
c.allMSUstudentsenrolledinthefallsemesterof2003
d.allcollegestudentsinMichiganenrolledinthefallsemesterof2003
ANSWER:
c
14.ThecollectionandsummarizationofthegraduatedegreesandresearchareasofinterestofthefacultyintheUniversityofMichiganofaparticularacademicinstitutionisanexampleof
a.inferentialstatistics
b.descriptivestatistics
c.aparameter
d.astatistic
ANSWER:
b
15.Thosemethodsinvolvingthecollection,presentation,andcharacterizationofasetofdatainordertoproperlydescribethevariousfeaturesofthatsetofdataarecalled
a.inferentialstatistics
b.thescientificmethod
c.samplingmethod
d.descriptivestatistics
ANSWER:
d
16.Whichofthefollowingismostlikelyaparameterasopposedtoastatistic
a.Theaveragescoreofthefirsttenstudentscompletinganassignment
b.TheproportionoffemalesregisteredtovoteinKentCounty,Michigan
c.Theaverageheightof100studentsrandomlyselectedfromacommunitycollege
d.TheproportionofcarsstoppedyesterdayonUS131thatwerecitedforspeeding
ANSWER:
b
17.Astudyisunderwayinanationalforesttodeterminetheadultheightofpinetrees.Specifically,thestudyisattemptingtodeterminewhatfactorsaidatreeinreachingheightsgreaterthan50feettall.Itisestimatedthattheforestcontains32,000pinetrees.Thestudyinvolvescollectingheightsfrom500randomlyselectedadultpinetreesandanalyzingtheresults.Thesampleinthestudyis
a.the500randomlyselectedadultpinetrees
b.the32,000adultpinetreesintheforest
c.alltheadultpinetreestallerthan50feet
d.allpinetrees,ofanyageintheforest
ANSWER:
a
18.Theestimationofthepopulationaveragestudentexpenditureoneducationbasedonthesampleaverageexpenditureof1,000studentsisanexampleof
a.inferentialstatistics
b.descriptivestatistics
c.aparameter
d.astatistic
ANSWER:
a
TRUE/FALSEQUESTIONS
19.Whenthepurposeofthestatisticalinferenceistodrawaconclusionaboutapopulation,thesignificancelevel,asameasureofreliability,measureshowfrequentlytheconclusionwillbecorrectinthelongrun.
ANSWER:
F
20.Asummarymeasurethatiscomputedfromasampletodescribeacharacteristicofthepopulationiscalledastatistic.
ANSWER:
T
21.Theconfidencelevelistheproportionoftimesthatanestimatingprocedurewillbewrong.
ANSWER:
F
22.Conclusionsandestimatesaboutapopulationbasedonsampledataarenotalwaysgoingtobecorrect.Forthisreasonmeasuresofreliability,suchasthesignificancelevelandtheconfidencelevel,shouldbebuiltintothestatisticalinference.
ANSWER:
T
23.Auniversityemploys2500facultyandstaff.Toascertainhowtheemployeesfeelregardingahealthinsuranceplan,250oftheemployeesaresurveyed.Theproportionofthe250employeeswhofavorthehealthinsuranceplanisaparameter.
ANSWER:
F
24.Inasampleof400studentsinacollegeofbusiness,120ofthemor30%aremarketingmajors.The30%isanexampleofstatisticalinferenceasopposedtodescriptivestatistics.
ANSWER:
F
25.Twenty-fivepercentofasampleof200tennisplayersindicatedthattheirparentsdidnotplaytennis.Basedonthissample,weestimatethatthe25%figureholdsfortheparentsofallprofessionaltennisplayers.Thisisanexampleofdescriptivestatisticsasopposedtostatisticalinference.
ANSWER:
F
26.Apopulationisthetotalityofitemsorthingsofinterestunderconsideration.
ANSWER:
T
27.Alocalcablesystemusingasampleof800subscribersestimatesthatfortypercentofitssubscriberswatchpremiumchannelatmostfourtimesaweek.Thisisanexampleofstatisticalinferenceasopposedtodescriptivestatistics
ANSWER:
T
28.Astatisticisusuallyunobservablewhileaparameterisusuallyobservable.
ANSWER:
F
29.Statisticalinferenceistheprocessofmakinganestimate,prediction,ordecisionaboutapopulationbasedonsampledata.
ANSWER:
T
30.Asummarymeasurethatiscomputedfromapopulationiscalledaparameter.
ANSWER:
T
31.Asampleistheportionoftheuniversethatisselectedforanalysisandmakinginferencesaboutthepopulationfromwhichthesampleisselected.
ANSWER:
T
32.Asapopulationbecomeslarge,itisusuallybettertoobtainstatisticalinformationfromtheentirepopulation.
ANSWER:
F
33.Astatisticisusuallyusedtoprovideanestimateforausuallyunobservedparameter.
ANSWER:
T
34.Asampleisalwaysagoodrepresentationofthetargetpopulation.
ANSWER:
F
35.Estimatingcharacteristicsofthepopulationisthemaingoalofdescriptivestatistics.
ANSWER:
F
STATISTICALCONCEPTS&APPLIEDQUESTIONS
36.Instatistics,whatnamedowegivetoanumericalcharacteristicofasample
ANSWER:
Statistic
37.Instatistics,whatnamedowegivetoanumericalcharacteristicofapopulation
ANSWER:
Parameter
38.Amanufacturerofchildrentoysclaimsthatlessthan3%ofhisproductsaredefective.When500toysweredrawnfromalargeproductionrun,5%werefoundtobedefective.
a.Whatisthepopulationofinterest
b.Whatisthesample
c.Whatistheparameter
d.Whatisthestatistic
e.Doesthevalue3%refertotheparameterorthestatisticWhy
f.Doesthevalue5%refertotheparameterorthestatisticWhy
g.Explainbrieflyhowthestatisticcanbeusedtomakeinferencesabouttheparametertotesttheclaim.
ANSWER:
a.Thecompleteproductionrunoftoys
b.The500toysdrawnfromtheproductionrun
c.Proportionoftheproductionruntoysthataredefective
d.Proportionofsampletoysthataredefective
e.Parameter;sinceitisasummarymeasurethatiscomputedfromthepopulation
f.Statistic;sinceitisasummarymeasurethatiscomputedfromthesample
g.Sincethesampleproporti
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