UCF QMB 3200 Final Exam
Doublingitheisizeiofitheisampleiwilli-iANSWER-
reduceitheistandardierroriofitheimean
Theisampleimeaniisitheipointiestimatoriofi-iANSWER-U
AisimpleirandomisampleiofisizeinifromianiinfiniteipopulationiofisizeiNii
sitoibeiselected.iEachipossibleisampleishouldihavei-iANSWER-
theisameiprobabilityiofibeingiselected
Whichiofitheifollowingistatementsiregardingitheisamplingidistributio
niofisampleimeansiisiincorrect?i-iANSWER-
Theistandardideviationiofitheisamplingidistributioniisitheistandardid
eviationiofitheipopulation.
Aisimpleirandomisampleiofisizeinifromianiinfiniteipopulationiisiaisamp
leiselectedisuchithati-iANSWER-
eachielementiisiselectediindependentlyiandiisiselectedifromitheisam
eipopulation
Theifactithatitheisamplingidistributioniofisampleimeansicanibeiappro
ximatedibyiainormaliprobabilityidistributioniwheneveritheisampleisiz
eibecomesilargeiisibasedionithei-iANSWER-centralilimititheorem.
Clusterisamplingiisi-iANSWER-aiprobabilityisamplingimethod.
Theicentralilimititheoremistatesithati-iANSWER-
ifitheisampleisizeiniisilarge,ithenitheisamplingidistributioniofitheisam
pleimeanicanibeiapproximatedibyiainormalidistribution.
Theivalueiofithe
isiuseditoiestimateitheivalueiofitheipopulationiparameteri-
iANSWER-sampleistatistic
Theisamplingidistributioniofiisithei-iANSWER-
probabilityidistributioniofiallipossibleivaluesiofitheisampleiproportion
.
Whichiofitheifollowingiisinotiaisymboliforiaiparameter?i-iANSWER-S.
,Theisampleistatisticicharacteristicisiisitheipointiestimatoriofi-
iANSWER-σ..
, Theidistributioniofivaluesitakenibyiaistatisticiiniallipossibleisamplesio
fitheisameisizeifromitheisameipopulationiisicallediai-iANSWER-
samplingidistribution.
Whichiofitheifollowingiisiaipointiestimator?i-iANSWER-S.
Asiairuleiofithumb,itheisamplingidistributioniofitheisampleiproportioni
canibeiapproximatedibyiainormaliprobabilityidistributioniwheni-
iANSWER-n(1i-ip)i≥i5iandinpi≥i5.
Aisampleiofi92iobservationsiisitakenifromianiinfiniteipopulation.iTheis
amplingidistributioniofiisiapproximatelyi-iANSWER-
normalibecauseiofitheicentralilimititheorem.
TheicentralilimititheoremiisiimportantiiniStatisticsibecauseiitienablesi
reasonablyiaccurateiprobabilitiesitoibeideterminediforieventsiinvolvi
ngitheisampleiaveragei-iANSWER-
whenitheisampleisizeiisilargeiregardlessiofitheidistributioniofitheivari
able.
Theidistributioniofivaluesitakenibyiaistatisticiiniallipossibleisamplesi
ofitheisameisizeifromitheisameipopulationiisitheisamplingidistributi
oniofi-iANSWER-Theisample
Whichiofitheseibestidescribesiaisamplingidistributioniofiaistatist
ic?i-iANSWER-
Itiisitheidistributioniofialliofitheistatisticsicalculatedifromiallipossi
bleisamplesiofitheisameisampleisize.
Theiprobabilityidistributioniofiallipossibleivaluesiofitheisampleipropor
tioniisithei-iANSWER-samplingidistributioniofip.
Foriaifixediconfidenceileveliandipopulationistandardideviation,iifiwei
wouldilikeitoicutiourimarginiofierroriinihalf,iweishoulditakeiaisampleisi
zeithatiisi-iANSWER-fouritimesiasilargeiasitheioriginalisampleisize.
Weicanireduceitheimarginiofierroriinianiintervaliestimateiofipibyidoing
ianyiofitheifollowingiexcepti-iANSWER-
increasingitheiplanningivalueip*itoi.5.
Doublingitheisizeiofitheisampleiwilli-iANSWER-
reduceitheistandardierroriofitheimean
Theisampleimeaniisitheipointiestimatoriofi-iANSWER-U
AisimpleirandomisampleiofisizeinifromianiinfiniteipopulationiofisizeiNii
sitoibeiselected.iEachipossibleisampleishouldihavei-iANSWER-
theisameiprobabilityiofibeingiselected
Whichiofitheifollowingistatementsiregardingitheisamplingidistributio
niofisampleimeansiisiincorrect?i-iANSWER-
Theistandardideviationiofitheisamplingidistributioniisitheistandardid
eviationiofitheipopulation.
Aisimpleirandomisampleiofisizeinifromianiinfiniteipopulationiisiaisamp
leiselectedisuchithati-iANSWER-
eachielementiisiselectediindependentlyiandiisiselectedifromitheisam
eipopulation
Theifactithatitheisamplingidistributioniofisampleimeansicanibeiappro
ximatedibyiainormaliprobabilityidistributioniwheneveritheisampleisiz
eibecomesilargeiisibasedionithei-iANSWER-centralilimititheorem.
Clusterisamplingiisi-iANSWER-aiprobabilityisamplingimethod.
Theicentralilimititheoremistatesithati-iANSWER-
ifitheisampleisizeiniisilarge,ithenitheisamplingidistributioniofitheisam
pleimeanicanibeiapproximatedibyiainormalidistribution.
Theivalueiofithe
isiuseditoiestimateitheivalueiofitheipopulationiparameteri-
iANSWER-sampleistatistic
Theisamplingidistributioniofiisithei-iANSWER-
probabilityidistributioniofiallipossibleivaluesiofitheisampleiproportion
.
Whichiofitheifollowingiisinotiaisymboliforiaiparameter?i-iANSWER-S.
,Theisampleistatisticicharacteristicisiisitheipointiestimatoriofi-
iANSWER-σ..
, Theidistributioniofivaluesitakenibyiaistatisticiiniallipossibleisamplesio
fitheisameisizeifromitheisameipopulationiisicallediai-iANSWER-
samplingidistribution.
Whichiofitheifollowingiisiaipointiestimator?i-iANSWER-S.
Asiairuleiofithumb,itheisamplingidistributioniofitheisampleiproportioni
canibeiapproximatedibyiainormaliprobabilityidistributioniwheni-
iANSWER-n(1i-ip)i≥i5iandinpi≥i5.
Aisampleiofi92iobservationsiisitakenifromianiinfiniteipopulation.iTheis
amplingidistributioniofiisiapproximatelyi-iANSWER-
normalibecauseiofitheicentralilimititheorem.
TheicentralilimititheoremiisiimportantiiniStatisticsibecauseiitienablesi
reasonablyiaccurateiprobabilitiesitoibeideterminediforieventsiinvolvi
ngitheisampleiaveragei-iANSWER-
whenitheisampleisizeiisilargeiregardlessiofitheidistributioniofitheivari
able.
Theidistributioniofivaluesitakenibyiaistatisticiiniallipossibleisamplesi
ofitheisameisizeifromitheisameipopulationiisitheisamplingidistributi
oniofi-iANSWER-Theisample
Whichiofitheseibestidescribesiaisamplingidistributioniofiaistatist
ic?i-iANSWER-
Itiisitheidistributioniofialliofitheistatisticsicalculatedifromiallipossi
bleisamplesiofitheisameisampleisize.
Theiprobabilityidistributioniofiallipossibleivaluesiofitheisampleipropor
tioniisithei-iANSWER-samplingidistributioniofip.
Foriaifixediconfidenceileveliandipopulationistandardideviation,iifiwei
wouldilikeitoicutiourimarginiofierroriinihalf,iweishoulditakeiaisampleisi
zeithatiisi-iANSWER-fouritimesiasilargeiasitheioriginalisampleisize.
Weicanireduceitheimarginiofierroriinianiintervaliestimateiofipibyidoing
ianyiofitheifollowingiexcepti-iANSWER-
increasingitheiplanningivalueip*itoi.5.
