Introduction to Statistical Investigations,
2nd Edition Nathan Tintle and Chance
All Chapters 1-11
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,TABLE OF CONTENTS
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Chapter 1 – Significance: How Strong is the Evidence
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Chapter 2 – T T
T Generalization: How Broadly Do the Results Apply?
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Chapter 3 – Estimation: How Large is the Effect?
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Chapter 4 – Causation: Can We Say What Caused the Effect?
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Chapter 5 – Comparing Two Proportions
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Chapter 6 – Comparing Two Means
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Chapter 7 – Paired Data: One Quantitative Variable
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Chapter 8 – Comparing More Than Two Proportions
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Chapter 9 – Comparing More Than Two Means
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Chapter 10 – Two Quantitative Variables
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Chapter 11 – Modeling Randomness
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,Chapter 1 T
Note:TTTTET =T TextTentry TE-NT=TTextTentryT-
T NumericTMaT =T Matching MST =T MultipleTselect
MCT =T MultipleTchoice TFT=TTrue-
FalseTET=TEasy,TMT=TMedium,THT=THard
CHAPTERT1TLEARNINGTOBJECTIVES
CLO1-1:TUseTtheTchanceTmodelTtoTdetermineTwhetherTanTobservedTstatisticTisTunlikelyTtoToccur.
CLO1-2:TCalculateTandTinterpretTaTp-
value,TandTstateTtheTstrengthTofTevidenceTitTprovidesTagainstTtheTnullThypothesis.
CLO1-
3:TCalculateTaTstandardizedTstatisticTforTaTsingleTproportionTandTevaluateTtheTstrengthTofTevide
nceTitTprovidesTagainstTaTnullThypothesis.
CLO1-
4:TDescribeThowTtheTdistanceTofTtheTobservedTstatisticTfromTtheTparameterTvalueTspecifiedTbyTtheT
nullThypothesis,TsampleTsize,TandTone-Tvs.Ttwo-
sidedTtestsTaffectTtheTstrengthTofTevidenceTagainstTtheTnullThypothesis.
CLO1-5:TDescribeThowTtoTcarryToutTaTtheory-based,Tone-proportionTz-test.
Section 1.1: Introduction to Chance Models
T T T T T
LO1.1-1:TRecognizeTtheTdifferenceTbetweenTparametersTandTstatistics.
LO1.1-2:TDescribeThowTtoTuseTcoinTtossingTtoTsimulateToutcomesTfromTaTchanceTmodelTofTtheTran-
TdomTchoiceTbetweenT twoTevents.
LO1.1-3:TUseTtheTOneTProportionTappletTtoTcarryToutTtheTcoinTtossingTsimulation.
LO1.1-
4:TIdentifyTwhetherTorTnotTstudyTresultsTareTstatisticallyTsignificantTandTwhetherTorTnotTtheTchan
ceTmodelTisTaTplausibleTexplanationTforTtheTdata.
LO1.1-
5:TImplementTtheT3STstrategy:TfindTaTstatistic,TsimulateTresultsTfromTaTchanceTmodel,TandTcom
mentTonTstrengthTofTevidenceTagainstTobservedTstudyTresultsThappeningTbyTchanceTalone.
LO1.1-
6:TDifferentiateTbetweenTsayingTtheTchanceTmodelTisTplausibleTandTtheTchanceTmodelTisTtheTcorrec
tTexplanationTforTtheTobservedTdata.
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, 1-2 TestTBankTforTIntroductionTtoTStatisticalTInvestigations,T2ndTEdition
QuestionsT1TthroughT4:
DoTredTuniformTwearersTtendTtoTwinTmoreToftenTthanTthoseTwearingTblueTuniformsTinTTaekwondo
TmatchesTwhereTcompetitorsTareTrandomlyTassignedTtoTwearTeitherTaTredTorTblueTuniform?TInTaTs
ampleTofT80TTaekwondoTmatches,TthereTwereT45TmatchesTwhereTtheTredTuniformTwearerTwon.
1. WhatTisTtheTparameterTofTinterestTforTthisTstudy?
A. TheTlong-runTproportionTofTTaekwondoTmatchesTinTwhichTtheTredTuniformTwearerTwins
B. TheTproportionTofTmatchesTinTwhichTtheTredTuniformTwearerTwinsTinTaTsampleTofT80TTaek
wondoT matches
C. WhetherTtheTredTuniformTwearerTwinsTaTmatch
D.T 0.50
Ans:TA;TLO:T1.1-1;TDifficulty:TEasy;TType:TMC
2. WhatTisTtheTstatisticTforTthisTstudy?
A. TheTlong-runTproportionTofTTaekwondoTmatchesTinTwhichTtheTredTuniformTwearerTwins
B. TheTproportionTofTmatchesTinTwhichTtheTredTuniformTwearerTwinsTinTaTsampleTofT80TTaek
wondoT matches
C. WhetherTtheTredTuniformTwearerTwinsTaTmatch
D.T 0.50
Ans:TB;TLO:T1.1-1;TDifficulty:TEasy;TType:TMC
3. GivenTbelowTisTtheTsimulatedTdistributionTofTtheTnumberTofT―redTwins‖TthatTcouldThappenTbyTchan
ceTaloneTinTaTsampleTofT80Tmatches.TBasedTonTthisTsimulation,TisTourTobservedTresultTstatistically
Tsignificant?
A. Yes,TsinceT45TisTlargerTthanT40.
B. Yes,TsinceTtheTheightTofTtheTdotplotTaboveT45TisTsmallerTthanTtheTheightTofTtheTdotpl
otTaboveT40.
C. No,TsinceT45TisTaTfairlyTtypicalToutcomeTifTtheTcolorTofTtheTwinner‘sTuniformTwasTdete
rminedTbyTchanceTalone.
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