statistics1 by kellerWord下载.docx
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2.Acompanyhasdevelopedanewcomputersoundcard,buttheaveragelifetimeisunknown.Inordertoestimatethisaverage,200soundcardsarerandomlyselectedfromalargeproductionlineandtestedandtheaveragelifetimeisfoundtobe5years.The200soundcardsrepresentthe:
a.parameter
b.statistic
c.sample
c
3.Asummarymeasurethatiscomputedfromasampletodescribeacharacteristicofthepopulationiscalleda
c.population
d.sample
b
4.Asummarymeasurethatiscomputedfromapopulationiscalleda
a
5.Whendataarecollectedinastatisticalstudyforonlyaportionorsubsetofallelementsofinterest,weareusinga:
a.sample
b.parameter
d.statistic
6.Whichofthefollowingisnotthegoalofdescriptivestatistics?
a.Summarizingdata
b.Displayingaspectsofthecollecteddata
c.Reportingnumericalfindings
d.Estimatingcharacteristicsofthepopulation
d
7.Whichofthefollowingstatementsisnottrue?
a.Oneformofdescriptivestatisticsusesgraphicaltechniques
b.Oneformofdescriptivestatisticsusesnumericaltechniques
c.Inthelanguageofstatistics,populationreferstoagroupofpeople
d.Statisticalinferenceisusedtodrawconclusionsorinferencesaboutcharacteristicsofpopulationsbasedonsampledata
8.Descriptivestatisticsdealswithmethodsof:
a.organizingdata
b.summarizingdata
c.presentingdatainaconvenientandinformativeway
d.Alloftheabove
9.Apoliticianwhoisrunningfortheofficeofgovernorofastatewith4millionregisteredvoterscommissionsasurvey.Inthesurvey,54%ofthe5,000registeredvotersinterviewedsaytheyplantovoteforher.Thepopulationofinterestisthe:
a.4millionregisteredvotersinthestate
b.5,000registeredvotersinterviewed
c.2,700votersinterviewedwhoplantovoteforher.
d.2,300votersinterviewedwhoplannottovoteforher
a
10.Acompanyhasdevelopedanewbattery,buttheaveragelifetimeisunknown.Inordertoestimatethisaverage,asampleof500batteriesistestedandtheaveragelifetimeofthissampleisfoundtobe225hours.The225hoursisthevalueofa:
11.Theprocessofusingsamplestatisticstodrawconclusionsabouttruepopulationparametersiscalled
a.inferentialstatistics
b.thescientificmethod
c.samplingmethod
d.descriptivestatistics
ANSWER:
12.Whichofthefollowingismostlikelyapopulationasopposedtoasample?
a.Respondentstoamagazinesurvey
b.Thefirst10studentscompletingafinalexam
c.Everyfifthstudenttoarriveatthebookstoreonyourcampus
d.RegisteredvotersintheStateofMichigan
13.Researcherssuspectthattheaveragenumberofcreditsearnedpersemesterbycollegestudentsisrising.AresearcheratMichiganStateUniversity(MSU)wishedtoestimatethenumberofcreditsearnedbystudentsduringthefallsemesterof2003atMSU.Todoso,herandomlyselects500studenttranscriptsandrecordsthenumberofcreditseachstudentearnedinthefallterm2003.Hefoundthattheaveragenumberofsemestercreditscompletedwas14.85creditsperstudent.Thepopulationofinteresttotheresearcheris
a.allMSUstudents
b.allcollegestudentsinMichigan
c.allMSUstudentsenrolledinthefallsemesterof2003
d.allcollegestudentsinMichiganenrolledinthefallsemesterof2003
14.ThecollectionandsummarizationofthegraduatedegreesandresearchareasofinterestofthefacultyintheUniversityofMichiganofaparticularacademicinstitutionisanexampleof
b.descriptivestatistics
c.aparameter
d.astatistic
15.Thosemethodsinvolvingthecollection,presentation,andcharacterizationofasetofdatainordertoproperlydescribethevariousfeaturesofthatsetofdataarecalled
16.Whichofthefollowingismostlikelyaparameterasopposedtoastatistic?
a.Theaveragescoreofthefirsttenstudentscompletinganassignment
b.TheproportionoffemalesregisteredtovoteinKentCounty,Michigan
c.Theaverageheightof100studentsrandomlyselectedfromacommunitycollege
d.TheproportionofcarsstoppedyesterdayonUS131thatwerecitedforspeeding
17.Astudyisunderwayinanationalforesttodeterminetheadultheightofpinetrees.Specifically,thestudyisattemptingtodeterminewhatfactorsaidatreeinreachingheightsgreaterthan50feettall.Itisestimatedthattheforestcontains32,000pinetrees.Thestudyinvolvescollectingheightsfrom500randomlyselectedadultpinetreesandanalyzingtheresults.Thesampleinthestudyis
a.the500randomlyselectedadultpinetrees
b.the32,000adultpinetreesintheforest
c.alltheadultpinetreestallerthan50feet
d.allpinetrees,ofanyageintheforest
18.Theestimationofthepopulationaveragestudentexpenditureoneducationbasedonthesampleaverageexpenditureof1,000studentsisanexampleof
TRUE/FALSEQUESTIONS
19.Whenthepurposeofthestatisticalinferenceistodrawaconclusionaboutapopulation,thesignificancelevel,asameasureofreliability,measureshowfrequentlytheconclusionwillbecorrectinthelongrun.
F
20.Asummarymeasurethatiscomputedfromasampletodescribeacharacteristicofthepopulationiscalledastatistic.
T
21.Theconfidencelevelistheproportionoftimesthatanestimatingprocedurewillbewrong.
F
22.Conclusionsandestimatesaboutapopulationbasedonsampledataarenotalwaysgoingtobecorrect.Forthisreasonmeasuresofreliability,suchasthesignificancelevelandtheconfidencelevel,shouldbebuiltintothestatisticalinference.
T
23.Auniversityemploys2500facultyandstaff.Toascertainhowtheemployeesfeelregardingahealthinsuranceplan,250oftheemployeesaresurveyed.Theproportionofthe250employeeswhofavorthehealthinsuranceplanisaparameter.
24.Inasampleof400studentsinacollegeofbusiness,120ofthemor30%aremarketingmajors.The30%isanexampleofstatisticalinferenceasopposedtodescriptivestatistics.
25.Twenty-fivepercentofasampleof200tennisplayersindicatedthattheirparentsdidnotplaytennis.Basedonthissample,weestimatethatthe25%figureholdsfortheparentsofallprofessionaltennisplayers.Thisisanexampleofdescriptivestatisticsasopposedtostatisticalinference.
26.Apopulationisthetotalityofitemsorthingsofinterestunderconsideration.
27.Alocalcablesystemusingasampleof800subscribersestimatesthatfortypercentofitssubscriberswatchpremiumchannelatmostfourtimesaweek.Thisisanexampleofstatisticalinferenceasopposedtodescriptivestatistics
28.Astatisticisusuallyunobservablewhileaparameterisusuallyobservable.
29.Statisticalinferenceistheprocessofmakinganestimate,prediction,ordecisionaboutapopulationbasedonsampledata.
30.Asummarymeasurethatiscomputedfromapopulationiscalledaparameter.
31.Asampleistheportionoftheuniversethatisselectedforanalysisandmakinginferencesaboutthepopulationfromwhichthesampleisselected.
32.Asapopulationbecomeslarge,itisusuallybettertoobtainstatisticalinformationfromtheentirepopulation.
33.Astatisticisusuallyusedtoprovideanestimateforausuallyunobservedparameter.
34.Asampleisalwaysagoodrepresentationofthetargetpopulation.
35.Estimatingcharacteristicsofthepopulationisthemaingoalofdescriptivestatistics.
STATISTICALCONCEPTS&
APPLIEDQUESTIONS
36.Instatistics,whatnamedowegivetoanumericalcharacteristicofasample?
Statistic
37.Instatistics,whatnamedowegivetoanumericalcharacteristicofapopulation?
ANSWER:
Parameter
38.Amanufacturerofchildrentoysclaimsthatlessthan3%ofhisproductsaredefective.When500toysweredrawnfromalargeproductionrun,5%werefoundtobedefective.
a.Whatisthepopulationofinterest?
b.Whatisthesample?
c.Whatistheparameter?
d.Whatisthestatistic?
e.Doesthevalue3%refertotheparameterorthestatistic?
Why?
f.Doesthevalue5%refertotheparameterorthestatistic?
g.Explainbrieflyhowthestatisticcanbeusedtomakeinferencesabouttheparametertotesttheclaim.
a.Thecompleteproductionrunoftoys
b.The500toysdrawnfromtheproductionrun
c.Proportionoftheproductionruntoysthataredefective
d.Proportionofsampletoysthataredefective
e.Parameter;
sinceitisasummarymeasurethatiscomputedfromthepopulation
f.Statistic;
sinceitisasummarymeasurethatiscomputedfromthesample
g.Sincethesampleproportionismorethan3%,weconcludethattheclaimisfalse.
39.The
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