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1、COMPLETEBUSINESSSTATISTICSbyAMIRD.ACZEL&JAYAVELSOUNDERPANDIAN6thedition.Chapter5SamplingandSamplingDistributionsUsingStatisticsSampleStatisticsasEstimatorsofPopulationParametersSamplingDistributionsEstimatorsandTheirPropertiesDegreesofFreedomTheTemplateSamplingandSamplingDistri
2、butions5TakerandomsamplesfrompopulationsDistinguishbetweenpopulationparametersandsamplestatisticsApplythecentrallimittheoremDerivesamplingdistributionsofsamplemeansandproportionsExplainwhysamplestatisticsaregoodestimatorsofpopulationparametersJudgeoneestimatorasbetterthananotherb
3、asedondesirablepropertiesofestimatorsApplytheconceptofdegreesoffreedomIdentifyspecialsamplingmethodsComputesamplingdistributionsandrelatedresultsusingtemplatesLEARNINGOBJECTIVES5Afterstudyingthischapteryoushouldbeableto:StatisticalInference:Predictandforecastvaluesofpopulationpar
4、ameters...Testhypothesesaboutvaluesofpopulationparameters...Makedecisions...OnbasisofsamplestatisticsderivedfromlimitedandincompletesampleinformationMakegeneralizationsaboutthecharacteristicsofapopulation...Onthebasisofobservationsofasample,apartofapopulation5-1UsingStatisticsDem
5、ocratsRepublicansPeoplewhohavephonesand/orcarsand/orareDigestreaders.BiasedSamplePopulationDemocratsRepublicansUnbiasedSamplePopulationUnbiased,representativesampledrawnatrandomfromtheentirepopulation.Biased,unrepresentativesampledrawnfrompeoplewhohavecarsand/ortelephonesand/orre
6、adtheDigest.TheLiteraryDigestPoll(1936)Anestimatorofapopulationparameterisasamplestatisticusedtoestimateorpredictthepopulationparameter.Anestimateofaparameterisaparticularnumericalvalueofasamplestatisticobtainedthroughsampling.Apointestimateisasinglevalueusedasanestimateofapopula
7、tionparameter.Apopulationparameterisanumericalmeasureofasummarycharacteristicofapopulation.5-2SampleStatisticsasEstimatorsofPopulationParametersAsamplestatisticisanumericalmeasureofasummarycharacteristicofasample.Thesamplemean,,isthemostcommonestimatorofthepopulationmean,??Thesam
8、plevariance,s2,isthemostcommonestimatoro