TB Introduction To Statistical Investiga-
G G G G
t ionsb 2nd Edition Beth L.Chance
G G G G G
Chapter 1 G
IntroductionGtoGStatisticalGInvestigationsGTestGBank
Note:GGGTEG =G TextGentry TE-NG=GTextGentryG-
G NumericGMaG =G Matching MSG =G MultipleGselect
MCG =G MultipleGchoice TFG=GTrue-
FalseGEG=GEasy,GMG=GMedium,GHG=GHard
CHAPTER 1 LEARNING OBJECTIVES
G G G
CLO1-1:GUseGtheGchanceGmodelGtoGdetermineGwhetherGanGobservedGstatisticGisGunlikelyGtoGoccur.
CLO1-2:GCalculateGandGinterpretGaGp-
value,GandGstateGtheGstrengthGofGevidenceGitGprovidesGagainstGtheGnullGhypothesis.
CLO1-
3:GCalculateGaGstandardizedGstatisticGforGaGsingleGproportionGandGevaluateGtheGstrengt
hGofGevidenceGitGprovidesGagainstGaGnullGhypothesis.
CLO1-
4:GDescribeGhowGtheGdistanceGofGtheGobservedGstatisticGfromGtheGparameterGvalueGspecifi
edGbyGtheGnullGhypothesis,GsampleGsize,GandGone-Gvs.Gtwo-
sidedGtestsGaffectGtheGstrengthGofGevidenceGagainstGtheGnullGhypothesis.
CLO1-5:GDescribeGhowGtoGcarryGoutGaGtheory-based,Gone-proportionGz-test.
Section 1.1: Introduction to Chance Models
G G G G G
LO1.1-1:GRecognizeGtheGdifferenceGbetweenGparametersGandGstatistics.
LO1.1-
2:GDescribeGhowGtoGuseGcoinGtossingGtoGsimulateGoutcomesGfromGaGchanceGmodelGofGtheGr
an-GdomGchoiceGbetweenGtwoGevents.
LO1.1-3:GUseGtheGOneGProportionGappletGtoGcarryGoutGtheGcoinGtossingGsimulation.
LO1.1-
4:GIdentifyGwhetherGorGnotGstudyGresultsGareGstatisticallyGsignificantGandGwhetherGorGnotG
theGchanceGmodelGisGaGplausibleGexplanationGforGtheGdata.
LO1.1-
5:GImplementGtheG3SGstrategy:GfindGaGstatistic,GsimulateGresultsGfromGaGchanceGmodel,G
andGcommentGonGstrengthGofGevidenceGagainstGobservedGstudyGresultsGhappeningGbyGc
hanceGalone.
LO1.1-
6:GDifferentiateGbetweenGsayingGtheGchanceGmodelGisGplausibleGandGtheGchanceGmodelGisG
theGcorrectGexplanationGforGtheGobservedGdata.
FORGINSTRUCTORGUSEGONL
Y
,1-2 TestGBankGforGIntroductionGtoGStatisticalGInvestigations,G2ndGEdition
QuestionsG1GthroughG4:
DoGredGuniformGwearersGtendGtoGwinGmoreGoftenGthanGthoseGwearingGblueGuniformsGinGT
aekwondoGmatchesGwhereGcompetitorsGareGrandomlyGassignedGtoGwearGeitherGaGredGorG
blueGuniform?GInGaGsampleGofG80GTaekwondoGmatches,GthereGwereG45GmatchesGwhereGt
heGredGuniformGwearerGwon.
1. WhatGisGtheGparameterGofGinterestGforGthisGstudy?
A. TheGlong-
runGproportionGofGTaekwondoGmatchesGinGwhichGtheGredGuniformGwearerGwins
B. TheGproportionGofGmatchesGinGwhichGtheGredGuniformGwearerGwinsGinGaGsampleGof
G80G
TaekwondoG matches
C. WhetherGtheGredGuniformGwearerGwinsGaGmatch
D.G 0.50
Ans:GA;GLO:G1.1-1;GDifficulty:GEasy;GType:GMC
2. WhatGisGtheGstatisticGforGthisGstudy?
A. TheGlong-
runGproportionGofGTaekwondoGmatchesGinGwhichGtheGredGuniformGwearerGwins
B. TheGproportionGofGmatchesGinGwhichGtheGredGuniformGwearerGwinsGinGaGsampleGof
G80G
TaekwondoG matches
C. WhetherGtheGredGuniformGwearerGwinsGaGmatch
D.G 0.50
Ans:GB;GLO:G1.1-1;GDifficulty:GEasy;GType:GMC
3. GivenGbelowGisGtheGsimulatedGdistributionGofGtheGnumberGofG―redGwins‖GthatGcouldGhappen
GbyGchanceGaloneGinGaGsampleGofG80Gmatches.GBasedGonGthisGsimulation,GisGourGobserved
GresultGstatisticallyG significant?
A. Yes,GsinceG45GisGlargerGthanG40.
B. Yes,GsinceGtheGheightGofGtheGdotplotGaboveG45GisGsmallerGthanGtheGheightGofG
theGdotplotGaboveG40.
C. No,GsinceG45GisGaGfairlyGtypicalGoutcomeGifGtheGcolorGofGtheGwinner‘sGuniformG
wasGdeterminedGbyGchanceGalone.
FORGINSTRUCTORGUSEGONL
Y
, IntroductionGtoGFinancialGStatements 1-3
D. No,GsinceGweGcouldGhaveGobservedGaGvalueGgreaterGthanG45GjustGbyGrandomGchance.
Ans:GC;GLO:G1.1-4;GDifficulty:GMedium;GType:GMC
4. WhatGcanGweGconcludeGfromGtheGresultsGofGthisGstudy?GSelectGallGthatGapply.
A. TheGresultsGofGthisGstudyGareGsomethingGthatGcouldGeasilyGhaveGhappenedGifGt
heGcolorGofGtheGwinner‘sGuniformGwasG determinedGbyGchanceGalone.
B. WeGdoGnotGhaveGconvincingGevidenceGagainstGtheG―by-chance-alone‖Gmodel.
C. TheGresultsGofGthisGstudyGproveGthatGtheGcolorGofGtheGwinner‘sGuniformGw
asGdeterminedGbyGchanceGalone.
D. WeGdoGnotGhaveGconvincingGevidenceGthatGredGuniformGwearersGtendGtoGwinGm
oreGoftenGthanGthoseGwearingGblueGuniforms.
Ans:GA,GB,GD;GLO:G1.1-6;GDifficulty:GHard;GType:GMS
QuestionsG5GthroughG8:
SupposeGyouGareGtestingGtoGseeGifGyourGdog,GHope,GunderstandsGpointingGtowardsGanGobject.GYo
uGplaceGtwoGobjectsGaboutG2.5GmetersGaway,GthenGyouGpointGtowardsGoneGofGtheGobjects.GInG20Gtri
als,GHopeGgoesGtoGtheGcorrectGobjectG13GtimesG(orG65%).
5. FillGinGtheGblanksGwithGtheGcorrectGOneGProportionGappletGinputsGtoGcarryGoutGanGappropri
ateGsimulationGofGthisGprocess,GifGHopeGdoesGnotGunderstandGpointingGtowardsGanGobjectG
andGisGjustGguessing.
ProbabilityGofGsuccess:GG
G SampleG
size:GG
NumberGofG samples:GG
Ans:G0.5G(Tol:G0),G20G(Tol:G0),GAnyGintegerGasGlargerGorGlargerGthanG1000;GLO:G1.1
-3;GDifficulty:GEasy;GType:GTE-N
6. MatchGtheGpartsGofGtheGrealGstudyGcorrespondingGtoGtheGphysicalG(coin-flipping)Gsimulation:
CoinGflipG=GG A. 0.5,GprobabilityGofGHopeGgoingGtoGth
eGcorrectGobject
G H
B. HopeGgoingGtoGtheGcorrectGobject
eadsG=GG
C. HopeGgoingGtoGtheGincorrectGobject
G T
D. OneGsetGofG20GattemptsGbyGHope
ailsG=GG
E. HopeGgoingGtoGanGobject
ChanceGofGheadsG=GG
GGG
GGGGGGGGG OneGrepetitionG=GG
Ans:GE,GB,GC,GA,GD;GLO:G1.1-2;GDifficulty:GMedium;GType:GMa
FORGINSTRUCTORGUSEGONL
Y
, 1-4 TestGBankGforGIntroductionGtoGStatisticalGInvestigations,G2ndGEditio
n
7. GivenGbelowGisGtheGresultingGsimulationGdistributionGfromGtheGOneGProportionGapplet.GBas
edGonGthisGsimulation,GdoGweGhaveGconvincingGevidenceGagainstGtheGobservedGstudyGresul
tsGhappeningGbyGchanceGalone?
A. No,GsinceG0.65GisGaGfairlyGtypicalGoutcomeGifG HopeGwasGjustGguessing.
B. No,GsinceGweGcouldGhaveGobservedGaGvalueGgreaterGthanG0.65GjustGbyGrand
omGchance.
C. Yes,GsinceG0.65GisGlargerGthanG0.5.
D. Yes,GsinceGtheGheightGofGtheGdotplotGaboveG0.65GisGsmallerGthanGtheGheightGofG
theGdotplotGaboveG0.5.
Ans:GA;GLO:G1.1-5;GDifficulty:GMedium;GType:GMC
8. WhichGofGtheGfollowingGisGNOTGaGstepGinGtheG3SGStrategyGforGmeasuringGstrengt
hGofGevidence?
A. StrengthGofGevidence
B. Statistic
C. Sample
D. Simulate
Ans:GC;GLO:G1.1-5;GDifficulty:GEasy;GType:GMC
QuestionsG9GthroughG12:
TrueGorGFalse?
9. AGparameterGisGaGnumberGsummarizingGtheGresultsGinGtheGsample.
Ans:GFalse;GLO:G1.1-1;GDifficulty:GEasy;GType:GTF
10. AGresultGthatGisGunlikelyGtoGoccurGjustGbyGchanceGaloneGisGcalledGstatisticallyGsignificant.
Ans:GTrue;GLO:G1.1-4;GDifficulty:GEasy;GType:GTF
11. IfGanGobservedGstatisticGisGstatisticallyGsignificant,GthenGweGhaveGstrongGevidenceGthatGt
heGchance-aloneGexplanationGisGcorrect.
Ans:GFalse;GLO:G1.1-5;GDifficulty:GMedium;GType:GTF
12. IfGanGobservedGstatisticGisGNOTGstatisticallyGsignificant,GthenGtheGchanceGmodelGisGplausible.
FORGINSTRUCTORGUSEGONL
Y
G G G G
t ionsb 2nd Edition Beth L.Chance
G G G G G
Chapter 1 G
IntroductionGtoGStatisticalGInvestigationsGTestGBank
Note:GGGTEG =G TextGentry TE-NG=GTextGentryG-
G NumericGMaG =G Matching MSG =G MultipleGselect
MCG =G MultipleGchoice TFG=GTrue-
FalseGEG=GEasy,GMG=GMedium,GHG=GHard
CHAPTER 1 LEARNING OBJECTIVES
G G G
CLO1-1:GUseGtheGchanceGmodelGtoGdetermineGwhetherGanGobservedGstatisticGisGunlikelyGtoGoccur.
CLO1-2:GCalculateGandGinterpretGaGp-
value,GandGstateGtheGstrengthGofGevidenceGitGprovidesGagainstGtheGnullGhypothesis.
CLO1-
3:GCalculateGaGstandardizedGstatisticGforGaGsingleGproportionGandGevaluateGtheGstrengt
hGofGevidenceGitGprovidesGagainstGaGnullGhypothesis.
CLO1-
4:GDescribeGhowGtheGdistanceGofGtheGobservedGstatisticGfromGtheGparameterGvalueGspecifi
edGbyGtheGnullGhypothesis,GsampleGsize,GandGone-Gvs.Gtwo-
sidedGtestsGaffectGtheGstrengthGofGevidenceGagainstGtheGnullGhypothesis.
CLO1-5:GDescribeGhowGtoGcarryGoutGaGtheory-based,Gone-proportionGz-test.
Section 1.1: Introduction to Chance Models
G G G G G
LO1.1-1:GRecognizeGtheGdifferenceGbetweenGparametersGandGstatistics.
LO1.1-
2:GDescribeGhowGtoGuseGcoinGtossingGtoGsimulateGoutcomesGfromGaGchanceGmodelGofGtheGr
an-GdomGchoiceGbetweenGtwoGevents.
LO1.1-3:GUseGtheGOneGProportionGappletGtoGcarryGoutGtheGcoinGtossingGsimulation.
LO1.1-
4:GIdentifyGwhetherGorGnotGstudyGresultsGareGstatisticallyGsignificantGandGwhetherGorGnotG
theGchanceGmodelGisGaGplausibleGexplanationGforGtheGdata.
LO1.1-
5:GImplementGtheG3SGstrategy:GfindGaGstatistic,GsimulateGresultsGfromGaGchanceGmodel,G
andGcommentGonGstrengthGofGevidenceGagainstGobservedGstudyGresultsGhappeningGbyGc
hanceGalone.
LO1.1-
6:GDifferentiateGbetweenGsayingGtheGchanceGmodelGisGplausibleGandGtheGchanceGmodelGisG
theGcorrectGexplanationGforGtheGobservedGdata.
FORGINSTRUCTORGUSEGONL
Y
,1-2 TestGBankGforGIntroductionGtoGStatisticalGInvestigations,G2ndGEdition
QuestionsG1GthroughG4:
DoGredGuniformGwearersGtendGtoGwinGmoreGoftenGthanGthoseGwearingGblueGuniformsGinGT
aekwondoGmatchesGwhereGcompetitorsGareGrandomlyGassignedGtoGwearGeitherGaGredGorG
blueGuniform?GInGaGsampleGofG80GTaekwondoGmatches,GthereGwereG45GmatchesGwhereGt
heGredGuniformGwearerGwon.
1. WhatGisGtheGparameterGofGinterestGforGthisGstudy?
A. TheGlong-
runGproportionGofGTaekwondoGmatchesGinGwhichGtheGredGuniformGwearerGwins
B. TheGproportionGofGmatchesGinGwhichGtheGredGuniformGwearerGwinsGinGaGsampleGof
G80G
TaekwondoG matches
C. WhetherGtheGredGuniformGwearerGwinsGaGmatch
D.G 0.50
Ans:GA;GLO:G1.1-1;GDifficulty:GEasy;GType:GMC
2. WhatGisGtheGstatisticGforGthisGstudy?
A. TheGlong-
runGproportionGofGTaekwondoGmatchesGinGwhichGtheGredGuniformGwearerGwins
B. TheGproportionGofGmatchesGinGwhichGtheGredGuniformGwearerGwinsGinGaGsampleGof
G80G
TaekwondoG matches
C. WhetherGtheGredGuniformGwearerGwinsGaGmatch
D.G 0.50
Ans:GB;GLO:G1.1-1;GDifficulty:GEasy;GType:GMC
3. GivenGbelowGisGtheGsimulatedGdistributionGofGtheGnumberGofG―redGwins‖GthatGcouldGhappen
GbyGchanceGaloneGinGaGsampleGofG80Gmatches.GBasedGonGthisGsimulation,GisGourGobserved
GresultGstatisticallyG significant?
A. Yes,GsinceG45GisGlargerGthanG40.
B. Yes,GsinceGtheGheightGofGtheGdotplotGaboveG45GisGsmallerGthanGtheGheightGofG
theGdotplotGaboveG40.
C. No,GsinceG45GisGaGfairlyGtypicalGoutcomeGifGtheGcolorGofGtheGwinner‘sGuniformG
wasGdeterminedGbyGchanceGalone.
FORGINSTRUCTORGUSEGONL
Y
, IntroductionGtoGFinancialGStatements 1-3
D. No,GsinceGweGcouldGhaveGobservedGaGvalueGgreaterGthanG45GjustGbyGrandomGchance.
Ans:GC;GLO:G1.1-4;GDifficulty:GMedium;GType:GMC
4. WhatGcanGweGconcludeGfromGtheGresultsGofGthisGstudy?GSelectGallGthatGapply.
A. TheGresultsGofGthisGstudyGareGsomethingGthatGcouldGeasilyGhaveGhappenedGifGt
heGcolorGofGtheGwinner‘sGuniformGwasG determinedGbyGchanceGalone.
B. WeGdoGnotGhaveGconvincingGevidenceGagainstGtheG―by-chance-alone‖Gmodel.
C. TheGresultsGofGthisGstudyGproveGthatGtheGcolorGofGtheGwinner‘sGuniformGw
asGdeterminedGbyGchanceGalone.
D. WeGdoGnotGhaveGconvincingGevidenceGthatGredGuniformGwearersGtendGtoGwinGm
oreGoftenGthanGthoseGwearingGblueGuniforms.
Ans:GA,GB,GD;GLO:G1.1-6;GDifficulty:GHard;GType:GMS
QuestionsG5GthroughG8:
SupposeGyouGareGtestingGtoGseeGifGyourGdog,GHope,GunderstandsGpointingGtowardsGanGobject.GYo
uGplaceGtwoGobjectsGaboutG2.5GmetersGaway,GthenGyouGpointGtowardsGoneGofGtheGobjects.GInG20Gtri
als,GHopeGgoesGtoGtheGcorrectGobjectG13GtimesG(orG65%).
5. FillGinGtheGblanksGwithGtheGcorrectGOneGProportionGappletGinputsGtoGcarryGoutGanGappropri
ateGsimulationGofGthisGprocess,GifGHopeGdoesGnotGunderstandGpointingGtowardsGanGobjectG
andGisGjustGguessing.
ProbabilityGofGsuccess:GG
G SampleG
size:GG
NumberGofG samples:GG
Ans:G0.5G(Tol:G0),G20G(Tol:G0),GAnyGintegerGasGlargerGorGlargerGthanG1000;GLO:G1.1
-3;GDifficulty:GEasy;GType:GTE-N
6. MatchGtheGpartsGofGtheGrealGstudyGcorrespondingGtoGtheGphysicalG(coin-flipping)Gsimulation:
CoinGflipG=GG A. 0.5,GprobabilityGofGHopeGgoingGtoGth
eGcorrectGobject
G H
B. HopeGgoingGtoGtheGcorrectGobject
eadsG=GG
C. HopeGgoingGtoGtheGincorrectGobject
G T
D. OneGsetGofG20GattemptsGbyGHope
ailsG=GG
E. HopeGgoingGtoGanGobject
ChanceGofGheadsG=GG
GGG
GGGGGGGGG OneGrepetitionG=GG
Ans:GE,GB,GC,GA,GD;GLO:G1.1-2;GDifficulty:GMedium;GType:GMa
FORGINSTRUCTORGUSEGONL
Y
, 1-4 TestGBankGforGIntroductionGtoGStatisticalGInvestigations,G2ndGEditio
n
7. GivenGbelowGisGtheGresultingGsimulationGdistributionGfromGtheGOneGProportionGapplet.GBas
edGonGthisGsimulation,GdoGweGhaveGconvincingGevidenceGagainstGtheGobservedGstudyGresul
tsGhappeningGbyGchanceGalone?
A. No,GsinceG0.65GisGaGfairlyGtypicalGoutcomeGifG HopeGwasGjustGguessing.
B. No,GsinceGweGcouldGhaveGobservedGaGvalueGgreaterGthanG0.65GjustGbyGrand
omGchance.
C. Yes,GsinceG0.65GisGlargerGthanG0.5.
D. Yes,GsinceGtheGheightGofGtheGdotplotGaboveG0.65GisGsmallerGthanGtheGheightGofG
theGdotplotGaboveG0.5.
Ans:GA;GLO:G1.1-5;GDifficulty:GMedium;GType:GMC
8. WhichGofGtheGfollowingGisGNOTGaGstepGinGtheG3SGStrategyGforGmeasuringGstrengt
hGofGevidence?
A. StrengthGofGevidence
B. Statistic
C. Sample
D. Simulate
Ans:GC;GLO:G1.1-5;GDifficulty:GEasy;GType:GMC
QuestionsG9GthroughG12:
TrueGorGFalse?
9. AGparameterGisGaGnumberGsummarizingGtheGresultsGinGtheGsample.
Ans:GFalse;GLO:G1.1-1;GDifficulty:GEasy;GType:GTF
10. AGresultGthatGisGunlikelyGtoGoccurGjustGbyGchanceGaloneGisGcalledGstatisticallyGsignificant.
Ans:GTrue;GLO:G1.1-4;GDifficulty:GEasy;GType:GTF
11. IfGanGobservedGstatisticGisGstatisticallyGsignificant,GthenGweGhaveGstrongGevidenceGthatGt
heGchance-aloneGexplanationGisGcorrect.
Ans:GFalse;GLO:G1.1-5;GDifficulty:GMedium;GType:GTF
12. IfGanGobservedGstatisticGisGNOTGstatisticallyGsignificant,GthenGtheGchanceGmodelGisGplausible.
FORGINSTRUCTORGUSEGONL
Y