Basic Econometrics.docx
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Basic Econometrics.docx
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BasicEconometrics
BasicEconometrics
Part1:
BasicStatistics:
Chapter1Estimation:
Confidenceintervals
Chapter1.1Confidenceinterval随堂测验
1、Whatispointestimation
A、Pointestimationisonlyoneobservation.
B、pointestimationisonevalueofthesamplestatisticstoestimatethepopulationparameter.
C、pointestimationarangetoestimatethepopulationparameters.
D、noneoftheabaveiscorrect.
Test1
1、Whenestimatingpopulationparameters,apointestimateis:
A、Arangeofpossiblevaluesforapopulationparameter.
B、Alwaysequaltoapopulationvalue.
C、Astatisticthatestimatesapopulationparameter.
D、Thepopulationmean.
2、Acharacteristicofallconfidenceintervalsisthat:
A、aconfidenceintervalalwaysincludesthepopulationparameter.
B、aconfidenceintervalalwaysincreasesinwidthasthesamplesizeisincreased.
C、aconfidenceintervalcannotincludeavalueof0.
D、aconfidenceintervalalwaysincreasesinwidthasthelevelofconfidenceincreases.
3、Ifwewishtodecreasethewidth(increasetheprecision)ofaconfidenceinterval,wewould:
A、increasethesizeofthesample.
B、reducethesizeofthepopulation.
C、raisethelevelofconfidence.
D、computethemean.
4、Wewishtodevelopaconfidenceintervalforthepopulationmean.Thepopulationstandarddeviationisknown.Wehaveasampleof40observations.Wedecidetousethe92percentlevelofconfidence.Theappropriatevalueofzis:
A、1.75.
B、1.96.
C、1.65.
D、2.58.
5、Wewishtodevelopaconfidenceintervalforthepopulationmean.Thepopulationfollowsthenormaldistribution,thestandarddeviationofthepopulationis3,andwehaveasampleof10observations.Wedecidetousethe90percentlevelofconfidence.Theappropriatestatisticforthelevelofconfidenceis:
A、z=1.645.
B、z=1.960.
C、t=1.833.
D、t=2.262.
6、Thefractionofasamplepossessingacertaintraitiscalleda:
A、proportion.
B、population.
C、mean.
D、confidenceinterval.
7、Todevelopaconfidenceintervalforaproportion:
A、weapproximatethebinomialdistributionwithanormaldistribution.
B、thesamplesizeshouldbeatleast100.
C、pshouldbelessthan.05.
D、weusethetstatistic.
8、Wewishtodevelopaconfidenceintervalforthepopulationmean.Thepopulationfollowsthenormaldistributionandthepopulationstandarddeviationis3.Wecollectarandomsampleof10observations.Wedecidetousethe90percentlevelofconfidence.Themarginoferrorfortheconfidenceintervalis:
A、±1.565.
B、±1.645.
C、±2.262.
D、±2.146.
9、Wewishtodevelopaconfidenceintervalforthepopulationmean.Thepopulationfollowsthenormaldistribution.Wecollectarandomsampleof10observationsandthesamplestandarddeviationis3.Wedecidetousethe95percentlevelofconfidence.Themarginoferrorfortheconfidenceintervalis:
A、±2.146.
B、±1.859.
C、±1.960.
D、±2.262.
10、Whichofthefollowingstatementsisacharacteristicofthetdistribution
A、Itisacontinuousdistribution.
B、Itisadiscretedistribution.
C、Ithasameanof0.
D、Itissymmetrical.
Part1:
BasicStatistics:
Chapter2HypothesisTestiing
Chapter2.1OneSampleTestsofHypothesis随堂测验
1、Whenwedotheonesampleofhypothesistestforthepopulationmeanbutwedon'tknowthepopulationvariation,whatstatisticswecanchoosetouse
A、Tstatistics
B、Normalstatistics
C、Fstatistics
D、chi-square
Test2
1、Foranullhypothesisstatement,italwaysincludes:
A、ahypothesizedvalueforthesamplestatistic.
B、astatementofequality:
(=),(≤)or(≥).
C、astatementoflessthan:
().
D、astatementofgreaterthan:
().
2、Whichofthefollowingstatementsistrueaboutthealternatehypothesis
A、Itisacceptedifthenullhypothesisisrejected.
B、Itwillalwayscontainanequalsign.
C、Itisrejectedifthenullhypothesisistrue.
D、Itisacceptedifthenullhypothesisisaccepted.
3、ATypeIErroris:
A、calculatedfromsampleinformation.
B、aprobabilitydeterminedfromtheteststatistic.
C、theprobabilityofrejectingthenullhypothesiswhenitistrue.
D、theprobabilityofacceptingthenullhypothesiswhenitisfalse.
4、Whentestinganullhypothesis,acriticalvalueis:
A、calculatedfromsampleinformation.
B、alwayspositive.
C、thepointthatdividestheacceptanceregionfromtherejectionregion.
D、aprobabilitydeterminedfromtheteststatistic.
5、Inaone-tailedhypothesistest:
A、therejectionregionisinonlyoneofthetailsofadistribution.
B、therejectionregionissplitbetweenthetailsofadistribution.
C、theareaoftherejectionregionequalsthep-value.
D、theareaoftherejectionregionistwicethevalueofthep-value.
6、Touseazstatisticinaone-samplehypothesistestofamean,weneedtoknow:
A、thepopulationmean.
B、thepopulationstandarddeviation.
C、thedegreesoffreedom.
D、themarginoferror.
7、Ap-valueisequaltothe:
A、populationproportion.
B、significancelevel.
C、fractionofthepopulationthathasaparticularcharacteristic.
D、probabilityoffindingavalueoftheteststatisticthatisequalormoreextreme(greaterthanorlessthan)thanthevalueoftheteststatisticassumingthenullhypothesisistrue.
8、ATypeIIErroroccurswhenwe:
A、acceptthenullhypothesiswhenitisfalse.
B、rejectthealternatehypothesiswhenitistrue.
C、rejectthenullhypothesiswhenitisfalse.
D、acceptthenullhypothesiswhenitistrue.
9、Whichofthefollowingstatementsistrueaboutthelevelofsignificance
A、Itisthelikelihoodofrejectingthenullhypothesiswhenitistrue.
B、Itisthelikelihoodofrejectingthenullhypothesiswhenitisfalse.
C、Itisaprobability.
D、Itcanbeanyvaluebetween0and1.
10、Whichofthefollowingstatementsarecorrectwhendecidingwhethertousethezorthetdistribution
A、Usethezdistributioninatestofproportionswhennπandn(1-π)aregreaterthanorequalto5.
B、Usethezdistributionwhenwehaveanormalpopulationandweknowthepopulationstandarddeviation.
C、Usetwhenthepopulationisnormalandthepopulationstandarddeviationisnotknown.
D、Usethetdistributioninatestofproportionswhennπandn(1-π)aregreaterthanorequalto5.
Part1:
BasicStatistics:
Chapter3Two-sampleTestsofHypothesis
Test3
1、Inahypothesistestcomparingtwopopulationmeans,the"="signalwaysappearsinthe:
A、nullhypothesis.
B、alternatehypothesis.
C、uppertailoftheteststatistic.
D、lowertailoftheteststatistic.
2、Inahypothesistestcomparingtwopopulationmeans,weusethezdistributionwhen:
A、bothpopulationstandarddeviationsareknown.
B、thetwopopulationstandarddeviationsareequal.
C、bothpopulationshaveatleast4000observations.
D、nπandn(1-π)arebothgreaterthan5.
3、Forthehypothesis,H0:
µ1≤µ2,arandomsampleof10observationsisselectedfromthefirstnormalpopulationand8fromthesecondnormalpopulation.Whatisthenumberofdegreesoffreedom
A、16
B、18
C、17
D、9
4、Forthehypothesis,H0:
µ1≤µ2,(.01significancelevel),arandomsampleof10observationsisselectedfromthefirstnormalpopulationand8fromthesecondnormalpopulation.Populationstandarddeviationsareunknown.Whatis(are)thecriticalvalue(s)
A、2.583
B、-2.921,2.921
C、-2.583,2.583
D、-2.583
5、Whentestingahypothesisaboutthemeansfortwoindependentpopulations(populationstandarddeviationsunknown),whatshouldbetrue
A、Bothpopulationsarenormallydistributed.
B、nπandn(1-π)arebothgreaterthan5.
C、Thesamplessizesselectedfromeachpopulationmustbeequal.
D、Theobservationsarematchedorpaired.
6、Toconductatestofmeansfortwoindependentpopulations,whichofthefollowingisrequired
A、Thepopulationstandarddeviationsmustbeequal.
B、Az-statisticisusedtotestthehypothesis.
C、nπandn(1-π)mustbe5orgreater.
D、Aone-tailedhypothesistest.
7、Anotherwaytostatethenullhypothesis:
H0:
µ1=µ2,is:
A、H0:
µ1-µ2=0
B、H0:
µ1≤µ2
C、H0:
µ1≥µ2
D、H0:
µ1-µ2≠0
8、Toconductatestofhypothesisfordependentpopulations,weassumethat:
A、thedistributionofthedifferencebetweenthesampledpairedobservationsfollowsthenormaldistribution.
B、bothsamplesareatleast30.
C、thesamplesareunrelated.
D、nπandn(1-π)arebothgreaterthan5.
9、Whenconductingatestofhypothesisfordependentsamples:
A、differencesbetweeneachmatchedpairofobservationsarecomputed.
B、thesamplesizeshouldbeatleast30pairsofobservations.
C、thesignificancelevelismorethan.05.
D、thep-valueismorethan.10.
10、Whichofthefollowingisnecessarytodetermineap-value
A、Knowledgeofwhetherthetestisone-tailedortwo-tailed
B、Thevalueoftheteststatistic
C、Thelevelofsignificance
D、Samplesize
Part1:
BasicStatistics:
Chapter4AnalysisofVariance
Test4
1、AF-statisticisusedtotestthehypothesisthat:
A、twopopulationvariancesareequal.
B、MSEequals0.
C、az-statisticisgreaterthan0.
D、azstatisticlessthanatstatistic.
2、TheshapeofaF-distributionis:
A、positivelyskewed.
B、symmetric.
C、negativelyskewed.
D、uniform.
3、Aone-wayANOVAisastatisticaltechniqueusedtotestanullhypothesisofequalpopulation:
A、means.
B、variances.
C、proportions.
D、skewness.
4、Inaone-wayANOVA,theFteststatisticistheratioofthe:
A、treatmentanderrormeansquares.
B、totalanderrormeansquares.
C、totalandtreatmentsquares.
D、twotreatmentvariances.
5、WhichofthefollowingisacharacteristicoftheFdistribution
A、Itisbasedontheratiooftwopopulationvariances.
B、Itisadiscretedistribution.
C、Itcannotbepositive.
D、Itistheratiooftwopopulationmeans.
6、
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