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Exam (elaborations)

UCF QMB 3200 – Final Exam (Updated Version) with All Questions and 100% Correct Answers

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This document contains the complete and verified set of questions and correct answers for the QMB 3200 Final Exam at the University of Central Florida (UCF). It thoroughly covers all statistical concepts required for the course, including sampling, estimation, hypothesis testing, regression analysis, multiple regression, and time series forecasting. Each question includes the accurate answer, making it an ideal study resource for mastering exam topics and preparing effectively for QMB 3200 assessments.

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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.

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