STAT 211 FINAL EXAM

STAT 211 FINAL EXAM


Thebnmajorbncurriculumbnofbnstudybnforbnabnrandomlybnselectedbnstudentbnisbn-bnanswers--
unrankedbncategorical



TwobnnumericbnvariablesbnXbnandbnYbnexhibitbnabnpositivebncorrelationbnifbn-bnanswers--
thebnvaluesbnofbnYbntendsbntobndecreasebnasbnthebnvaluebnofbnXbndecreases



TwobnnumericbnvaluesbnXbnandbnYbnexhibitbnabnnegativebncorrelationbnifbn-bnanswers--
thebnvaluebnofbnYbntendsbntobnincreasebnasbnthebnvaluebnofbnXbndecreases



Ifbnthebncorrelationbnbetweenbntwobnvariablesbnisbnpositive,bnthebnslopebnofbnthebnlinearbnmodelbnisbnp
ositivebn-bnanswers--true



whatbnarebnresidualsbn-bnanswers--
thebndifferencebnbetweenbnobservedbnresponsesbnandbnvaluesbnpredictedbnbybnthebnmodel



abnstatisticbnisbn-bnanswers--abnvaluebnassociatedbnwithbnabncharacteristicbnofbnthebnsample



Thebnprobabilitybnofbngettingbnmorebnthanbn4bnsuccessesbninbnabnbinomialbnexperimentbnconsistingbnof
bn10bntrialsbncanbnbebnwrittenbnasbn-bnanswers--1-P(x<4)




Ifbnwebnincreasebnthebnsamplebnsizebnthatbnisbnusedbntobnconstructbnabnconfidencebninterval,bn-
bnanswers--thebnwidthbnofbnthebnconfidencebnintervalbndecreases




WhichbnofbnthebnfollowingbnisbnNOTbnabnpropertybnofbnbinomialbnexperiments?bn-bnanswers--
allbnofbnthesebnarebnpropertiesbnofbnabnbinomialbnexperiment

, WhichbnofbnthebnfollowingbnstatementsbnisbnabncorrectbnstatementbnaboutbnthebnCentralbnLimit
bnTheorem?

Webncanbnalwaysbnexpectbnvariabilitybninbnourbndata.bn



B.

NonebnofbnthesebnstatementsbnarebnwhatbnthebnCentralbnLimitbnTheorembnsays.bn

Thisbnisbnthebncorrectbnanswer.

C.

Asbnthebnnumberbnofbntrials
bnincreases,bnthebnexperimentalbnprobabilitybntendsbntobngetbncloserbntobnthebntheoreticalbnprobability.

Yourbnanswerbnisbnnotbncorrect.

D.

Thebndistributionbnofbnx-bar'sbnpossiblebnvaluesbnisbnalwaysbnNormal.bn-bnanswers--
nonebnofbnthesebnstatementsbnarebnwhatbnthebncentralbnlimitbntheorembnsays



Supposebnthatbnwebnobtainbnabnrandombnsamplebnofbnsize
bnn=96bnfrombnabnPoissonbndistrubutionbnandbncaluluatebnthebnsamplebnmean.bnThebnsamplingbndistrib
utionbnofbnthebnsamplebnmeanbnwillbnhavebnabn-bnanswers--normalbndistribution



Thebnsamplingbndistributionbnofbnthebnsamplebnmeanbn-bnanswers--
describesbnthebndistributionbnofbnthebnpossiblebnvaluesbnthatbnthebnsamplebnmeanbnmaybnhave,bnforbna
bnsamplebnofbnsizebnn




ThebnaveragebnagebnofbnautomobilesbnregisteredbninbnWestbnVirginiabnisbn7bnyearsbnoldbn(orbn84
bnmonths)bnandbnthebnstandardbndeviationbnisbn15bnmonths.bnAbnrandombnsamplebnsamplebnofbn36bnau
tomobilesbnisbnselected.bn-bnanswers--84bnmonths



RandombnvariablebnXbnpossessesbnabnnormalbndistributionbnwithbnmeanbn50bnandbnstandardbndeviation
bn10.bn

RandombnvariablebnYbnpossessesbnabnnormalbndistributionbnwithbnmeanbn50bnandbnstandardbndeviation
bn20.bn-bnanswers--
ThebnareabnbeneathbnthebnnormalbncurvebnforbnXbnisbnequalbntobnthebnareabnbeneathbnthebnnormalbnfo
rbnY