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300Two-SampleTestsandOne-WayANOVACopyright©2010PearsonEducation,Inc.PublishingasPrenticeHallCHAPTER10:TWO-SAMPLETESTSANDONE-WAYANOAVA1.Thettestforthedifferencebetweenthemeansof2independentpopulationsassumesthattherespectivea)samplesizesareequal.b)samplevariancesareequal.c)populationsareapproximatelynormal.d)Alloftheabove.ANSWER:cTYPE:MCDIFFICULTY:ModerateKEYWORDS:pooledvariance,ttest,assumption2.Thettestforthemeandifferencebetween2relatedpopulationsassumesthatthea)populationsizesareequal.b)samplevariancesareequal.c)populationofdifferencesisapproximatelynormalorsamplesizesarelargeenough.d)Alloftheabove.ANSWER:cTYPE:MCDIFFICULTY:ModerateKEYWORDS:ttest,meandifference,assumption3.Ifwearetestingforthedifferencebetweenthemeansof2relatedpopulationswithsamplesofn1=20andn2=20,thenumberofdegreesoffreedomisequaltoa)39.b)38.c)19.d)18.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:ttest,meandifference,degreesoffreedom4.Ifwearetestingforthedifferencebetweenthemeansof2independentpopulationspresumingequalvarianceswithsamplesofn1=20andn2=20,thenumberofdegreesoffreedomisequaltoa)39.b)38.c)19.d)18.Two-SampleTestsandOne-WayANOVA301Copyright©2010PearsonEducation,Inc.PublishingasPrenticeHallANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:pooledvariance,ttest,degreesoffreedom5.Inwhattypeoftestisthevariableofinterestthedifferencebetweenthevaluesoftheobservationsratherthantheobservationsthemselves?a)Atestfortheequalityofvariancesfrom2independentpopulations.b)Atestforthedifferencebetweenthemeansof2relatedpopulations.c)Atestforthedifferencebetweenthemeansof2independentpopulations.d)Alloftheabove.ANSWER:bTYPE:MCDIFFICULTY:ModerateKEYWORDS:ttest,meandifference6.Intestingforthedifferencesbetweenthemeansof2independentpopulationswherethevariancesineachpopulationareunknownbutassumedequal,thedegreesoffreedomarea)n–1.b)n1+n2–1.c)n1+n2–2.d)n–2.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:pooledvariance,ttest,degreesoffreedom7.Intestingfordifferencesbetweenthemeansof2relatedpopulationswherethevarianceofthedifferencesisunknown,thedegreesoffreedomarea)n–1.b)n1+n2–1.c)n1+n2–2.d)n–2.ANSWER:aTYPE:MCDIFFICULTY:EasyKEYWORDS:ttest,meandifference,degreesoffreedom8.Intestingfordifferencesbetweenthemeansoftworelatedpopulations,thenullhypothesisisa)0:2DH.b)0:0DH.c)0:0DH.d)0:0DH.ANSWER:bTYPE:MCDIFFICULTY:Easy302Two-SampleTestsandOne-WayANOVACopyright©2010PearsonEducation,Inc.PublishingasPrenticeHallKEYWORDS:ttest,meandifference,formofhypothesis9.Intestingfordifferencesbetweenthemeansoftwoindependentpopulations,thenullhypothesisis:a)012:H=2.b)H0:1–2=0.c)H0:1–20.d)H0:1–22.ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:pooledvariance,ttest,formofhypothesis10.Whentestingforthedifferencebetween2populationvarianceswithsamplesizesofn1=8andn2=10,thenumberofdegreesoffreedomarea)8and10.b)7and9.c)18.d)16.ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:Ftest,differencebetweentwovariances,degreesoffreedom11.Thestatisticaldistributionusedfortestingthedifferencebetweentwopopulationvariancesisthe___distribution.a)tb)standardizednormalc)binomiald)FANSWER:dTYPE:MCDIFFICULTY:EasyKEYWORDS:Ftest,differencebetweentwovariances,degreesoffreedom12.Thetestfortheequalityoftwopopulationvariancesisbasedona)thedifferencebetweenthe2samplevariances.b)theratioofthe2samplevariances.c)thedifferencebetweenthe2populationvariances.d)thedifferencebetweenthesamplevariancesdividedbythedifferencebetweenthesamplemeans.ANSWER:bTYPE:MCDIFFICULTY:EasyTwo-SampleTestsandOne-WayANOVA303Copyright©2010PearsonEducation,Inc.PublishingasPrenticeHallKEYWORDS:Ftest,differencebetweentwovariances13.TrueorFalse:TheFtestusedfortestingthedifferenceintwopopulationvariancesisalwaysaone-tailedtest.ANSWER:FalseTYPE:TFDIFFICULTY:EasyKEYWORDS:Ftest,differencebetweentwovariances,rejectionregion14.Intestingforthedifferencesbetweenthemeansoftworelatedpopulations,the_______hypothesisisthehypothesisofnodifferences.ANSWER:nullTYPE:FIDIFFICULTY:EasyKEYWORDS:ttest,meandifference,formofhypothesis15.Intestingforthedifferencesbetweenthemeansoftworelatedpopulations,weassumethatthedifferencesfollowa_______distribution.ANSWER:normalTYPE:FIDIFFICULTY:EasyKEYWORDS:ttest,meandifference,assumption16.Intestingforthedifferencesbetweenthemeansoftwoindependentpopulations,weassumethatthe2populationseachfollowa_______distribution.ANSWER:normalTYPE:FIDIFFICULTY:EasyKEYWORDS:pooledvariance,ttest,assumption17.Giventhefollowinginformation,calculatethedegreesoffreedomthatshouldbeusedinthepooled-variancettest.s12=4s22=6n1=16n2=25a)df=41b)df=39c)df=16d)df=25ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:pooledvariance,ttest,degreesoffreedom304Two-SampleTestsandOne-WayANOVACopyright©2010PearsonEducation,Inc.PublishingasPrenticeHall18.Giventhefollowinginformation,calculatesp2,thepooledsamplevariancethatshouldbeusedinthepooled-variancettest.s12=4s22=6n1=16n2=25a)sp2=6.00b)sp2=5.00c)sp2=5.23d)sp2=4.00ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:pooledvariance,ttestTABLE10-1AreJapanesemanagersmoremotivatedthanAmericanmanagers?ArandomlyselectedgroupofeachwereadministeredtheSarnoffSurveyofAtti
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