商务统计学 第九章习题chap09TIFBSAFC5.docx
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商务统计学第九章习题chap09TIFBSAFC5
CHAPTER9:
FUNDAMENTALSOFHYPOTHESISTESTING:
ONE-SAMPLETESTS
1.Whichofthefollowingwouldbeanappropriatenullhypothesis?
a）Themeanofapopulationisequalto55.
b）Themeanofasampleisequalto55.
c）Themeanofapopulationisgreaterthan55.
d）Only（a）and（c）aretrue.
ANSWER:
a
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
formofhypothesis
2.Whichofthefollowingwouldbeanappropriatenullhypothesis?
a）Thepopulationproportionislessthan0.65.
b）Thesampleproportionislessthan0.65.
c）Thepopulationproportionisnolessthan0.65.
d）Thesampleproportionisnolessthan0.65.
ANSWER:
c
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
formofhypothesis
3.Whichofthefollowingwouldbeanappropriatealternativehypothesis?
a）Themeanofapopulationisequalto55.
b）Themeanofasampleisequalto55.
c）Themeanofapopulationisgreaterthan55.
d）Themeanofasampleisgreaterthan55.
ANSWER:
c
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
formofhypothesis
4.Whichofthefollowingwouldbeanappropriatealternativehypothesis?
a）Thepopulationproportionislessthan0.65.
b）Thesampleproportionislessthan0.65.
c）Thepopulationproportionisnolessthan0.65.
d）Thesampleproportionisnolessthan0.65.
ANSWER:
a
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
formofhypothesis
5.ATypeIIerroriscommittedwhen
a）werejectanullhypothesisthatistrue.
b）wedon'trejectanullhypothesisthatistrue.
c）werejectanullhypothesisthatisfalse.
d）wedon'trejectanullhypothesisthatisfalse.
ANSWER:
d
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
typeIIerror
6.ATypeIerroriscommittedwhen
a）werejectanullhypothesisthatistrue.
b）wedon'trejectanullhypothesisthatistrue.
c）werejectanullhypothesisthatisfalse.
d）wedon'trejectanullhypothesisthatisfalse.
ANSWER:
a
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
typeIerror
7.Thepowerofatestismeasuredbyitscapabilityof
a）rejectinganullhypothesisthatistrue.
b）notrejectinganullhypothesisthatistrue.
c）rejectinganullhypothesisthatisfalse.
d）notrejectinganullhypothesisthatisfalse.
ANSWER:
c
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
power
8.TrueorFalse:
Foragivenlevelofsignificance,ifthesamplesizeisincreased,thepowerofthetestwillincrease.
ANSWER:
True
TYPE:
TFDIFFICULTY:
Moderate
KEYWORDS:
power,levelofsignificance,samplesize
9.TrueorFalse:
Foragivenlevelofsignificance,ifthesamplesizeisincreased,theprobabilityofcommittingaTypeIerrorwillincrease.
ANSWER:
False
TYPE:
TFDIFFICULTY:
Moderate
KEYWORDS:
levelofsignificance,samplesize,typeIerror
10.TrueorFalse:
Foragivenlevelofsignificance,ifthesamplesizeisincreased,theprobabilityofcommittingaTypeIIerrorwillincrease.
ANSWER:
False
TYPE:
TFDIFFICULTY:
Moderate
KEYWORDS:
levelofsignificance,samplesize,typeIIerror
11.TrueorFalse:
Foragivensamplesize,theprobabilityofcommittingaTypeIIerrorwillincreasewhentheprobabilityofcommittingaTypeIerrorisreduced.
ANSWER:
True
TYPE:
TFDIFFICULTY:
Moderate
KEYWORDS:
samplesize,typeIerror,typeIIerror
12.Ifaneconomistwishestodeterminewhetherthereisevidencethataveragefamilyincomeinacommunityexceeds$25,000
a）eitheraone-tailedortwo-tailedtestcouldbeusedwithequivalentresults.
b）aone-tailedtestshouldbeutilized.
c）atwo-tailedtestshouldbeutilized.
d）Noneoftheabove.
ANSWER:
b
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
one-tailedtest
13.Ifaneconomistwishestodeterminewhetherthereisevidencethataveragefamilyincomeinacommunityequals$25,000
a）eitheraone-tailedortwo-tailedtestcouldbeusedwithequivalentresults.
b）aone-tailedtestshouldbeutilized.
c）atwo-tailedtestshouldbeutilized.
d）Noneoftheabove.
ANSWER:
c
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
two-tailedtest
14.Ifthep-valueislessthaninatwo-tailedtest,
a）thenullhypothesisshouldnotberejected.
b）thenullhypothesisshouldberejected.
c）aone-tailedtestshouldbeused.
d）noconclusionshouldbereached.
ANSWER:
b
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
p-value,levelofsignificance
15.IfatestofhypothesishasaTypeIerrorprobability（）of0.01,wemean
a）ifthenullhypothesisistrue,wedon'trejectit1%ofthetime.
b）ifthenullhypothesisistrue,werejectit1%ofthetime.
c）ifthenullhypothesisisfalse,wedon'trejectit1%ofthetime.
d）ifthenullhypothesisisfalse,werejectit1%ofthetime.
ANSWER:
b
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
typeIerror,levelofsignificance
16.IftheTypeIerror（）foragiventestistobedecreased,thenforafixedsamplesizen
a）theTypeIIerror（）willalsodecrease.
b）theTypeIIerror（）willincrease.
c）thepowerofthetestwillincrease.
d）aone-tailedtestmustbeutilized.
ANSWER:
b
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
typeIerror,typeIIerror,samplesize
17.Foragivensamplesizen,ifthelevelofsignificance（）isdecreased,thepowerofthetest
a）willincrease.
b）willdecrease.
c）willremainthesame.
d）cannotbedetermined.
ANSWER:
b
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
levelofsignificance,power,samplesize
18.Foragivenlevelofsignificance（）,ifthesamplesizenisincreased,theprobabilityofaTypeIIerror（）
a）willdecrease.
b）willincrease.
c）willremainthesame.
d）cannotbedetermined.
ANSWER:
a
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
levelofsignificance,beta-risk,samplesize
19.Youknowthatthelevelofsignificance（）ofatestis5%,youcantellthattheprobabilityofcommittingaTypeIIerror（）is
a）2.5%
b）95%.
c）97.5%
d）unknown
ANSWER:
d
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
levelofsignificance,beta-risk
20.YouknowthattheprobabilityofcommittingaTypeIIerror（）is5%,youcantellthatthepowerofthetestis
a）2.5%
b）95%.
c）97.5%
d）unknown
ANSWER:
b
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
levelofsignificance,beta-risk,power
21.Ifaresearcherrejectsatruenullhypothesis,shehasmadea_______error.
ANSWER:
TypeI
TYPE:
FIDIFFICULTY:
Easy
KEYWORDS:
typeIerror
22.Ifaresearcheracceptsatruenullhypothesis,shehasmadea_______decision.
ANSWER:
correct
TYPE:
FIDIFFICULTY:
Easy
KEYWORDS:
decision
23.Ifaresearcherrejectsafalsenullhypothesis,shehasmadea_______decision.
ANSWER:
correct
TYPE:
FIDIFFICULTY:
Easy
KEYWORDS:
decision
24.Ifaresearcheracceptsafalsenullhypothesis,shehasmadea_______error.
ANSWER:
TypeII
TYPE:
FIDIFFICULTY:
Easy
KEYWORDS:
typeIIerror
25.Itispossibletodirectlycomparetheresultsofaconfidenceintervalestimatetotheresultsobtainedbytestinganullhypothesisif
a）atwo-tailedtestforisused.
b）aone-tailedtestforisused.
c）Bothofthepreviousstatementsaretrue.
d）Noneofthepreviousstatementsistrue.
ANSWER:
a
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
confidenceinterval,two-tailedtest
26.Thepowerofastatisticaltestis
a）theprobabilityofnotrejectingH0whenitisfalse.
b）theprobabilityofrejectingH0whenitistrue.
c）theprobabilityofnotrejectingH0whenitistrue.
d）theprobabilityofrejectingH0whenitisfalse.
ANSWER:
d
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
power
27.Thesymbolforthepowerofastatisticaltestis
a）.
b）1–.
c）.
d）1–.
ANSWER:
d
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
power
28.SupposewewishtotestH0:
47versusH1:
>47.Whatwillresultifweconcludethatthemeanisgreaterthan47whenitstruevalueisreally52?
a）WehavemadeaTypeIerror.
b）WehavemadeaTypeIIerror.
c）Wehavemadeacorrectdecision
d）Noneoftheabovearecorrect.
ANSWER:
c
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
one-tailedtest,conclusion
29.HowmanyKleenexshouldtheKimberlyClarkCorporationpackageoftissuescontain?
Researchersdeterminedthat60tissuesistheaveragenumberoftissuesusedduringacold.Supposearandomsampleof100Kleenexusersyieldedthefollowingdataonthenumberoftissuesusedduringacold:
=52,s=22.Givethenullandalternativehypothesestodetermineifthenumberoftissuesusedduringacoldislessthan60.
a）
b）
c）
d）
ANSWER:
b
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
one-tailedtest,formofhypothesis,formofhypothesis,mean,ttest
30.HowmanyKleenexshouldtheKimberlyClarkCorporationpackageoftissuescontain?
Researchersdeterminedthat60tissuesistheaveragenumberoftissuesusedduringacold.Supposearandomsampleof100Kleenexusersyieldedthefollowingdataonthenumberoftissuesusedduringacold:
=52,s=22.Usingthesampleinformationprovided,calculatethevalueoftheteststatistic.
a）
b）
c）
d）
ANSWER:
d
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
one-tailedtest,mean,ttest
31.HowmanyKleenexshouldtheKimberlyClarkCorporationpackageoftissuescontain?
Researchersdeterminedthat60tissuesistheaveragenumberoftissuesusedduringacold.Supposearandomsampleof100Kleenexusersyieldedthefollowingdataonthenumberoftissuesusedduringacold:
=52,s=22.Supposethealternativewewantedtotestwas.Statethecorrectrejectionregionfor=0.05.
a）RejectH0ift>1.6604.
b）RejectH0ift<–1.6604.
c）RejectH0ift>1.9842orZ<–1.9842.
d）RejectH0ift<–1.9842.
ANSWER:
b
TYPE:
MCDIFFICULTY:
Moderate
KEYWORDS:
one-tailedtest,mean,ttest,rejectionregion
32.HowmanyKleenexshouldtheKimberlyClarkCorporationpackageoftissuescontain?
Researchersdeterminedthat60tissuesistheaveragenumberoftissuesusedduringacold.Supposearandomsampleof100Kleenexusersyieldedthefollowingdataon
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