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1、SamplingandSamplingDistributionsChapter7SamplingandSamplingDistributionsLearningObjectives1.Understandtheimportanceofsamplingandhowresultsfromsamplescanbeusedtoprovideestimatesofpopulationcharacteristicssuchasthepopulationmean,thepopulationstandarddeviationand/orthepopulationproportion.2.Knowwhatsim
2、plerandomsamplingisandhowsimplerandomsamplesareselected.3.Understandtheconceptofasamplingdistribution.4.Knowthecentrallimittheoremandtheimportantroleitplaysinsampling.5.Specificallyknowthecharacteristicsofthesamplingdistributionofthesamplemean()andthesamplingdistributionofthesampleproportion().6.Bec
3、omeawareofthepropertiesofpointestimatorsincludingunbiasedness,consistency,andefficiency.7.Learnaboutavarietyofsamplingmethodsincludingstratifiedrandomsampling,clustersampling,systematicsampling,conveniencesamplingandjudgmentsampling.8.Knowthedefinitionofthefollowingterms:simplerandomsamplingfinitepo
4、pulationcorrectionfactorsamplingwithreplacementstandarderrorsamplingwithoutreplacementunbiasednesssamplingdistributionconsistencypointestimatorefficiency7-19SamplingandSamplingDistributionsSolutions:1.a.AB,AC,AD,AE,BC,BD,BE,CD,CE,DEb.With10samples,eachhasa1/10probability.c.EandCbecause8and0donotappl
5、y.;5identifiesE;7doesnotapply;5isskippedsinceEisalreadyinthesample;3identifiesC;2isnotneededsincethesampleofsize2iscomplete.2.Usingthelast3-digitsofeach5-digitgroupingprovidestherandomnumbers:601,022,448,147,229,553,147,289,209Numbersgreaterthan350donotapplyandthe147canonlybeusedonce.Thus,thesimpler
6、andomsampleoffourincludes22,147,229,and289.3.459,147,385,113,340,401,215,2,33,3484.a.6,8,5,4,1IBM,Microsoft,Intel,GeneralElectric,AT&Tb.5.283,610,39,254,568,353,602,421,638,1646.2782,493,825,1807,2897.108,290,201,292,322,9,244,249,226,125,(continuingatthetopofcolumn9)147,and113.8.13,8,23,25,18,5Thes
7、econdoccurrencesofrandomnumbers13and25areignored.Washington,Clemson,Oklahoma,Colorado,USCandWisconsin9.511,791,99,671,152,584,45,783,301,568,754,75010.finite,infinite,infinite,infinite,finite11.a.b.=(
