Introduction to Statistical Investigations,
nd
2 Edition Nathan Tintle; Beth L. Chance
Chapters 1 - 11, Complete
FORaINSTRUCTORaUSEaONLY
,TABLE OF CONTENTS
a a a
Chapter 1 – Significance: How Strong is the Evidence
a a a a a a a a a
Chapter 2 – Generalization: How Broadly Do the Results Apply?
a a a a a a a a a a
Chapter 3 – Estimation: How Large is the Effect?
a a a a a a a a a
Chapter 4 – Causation: Can We Say What Caused the Effect?
a a a a a a a a a a a
Chapter 5 – Comparing Two Proportions
a a a a a a
Chapter 6 – Comparing Two Means
a a a a a a
Chapter 7 – Paired Data: One Quantitative Variable
a a a a a a a a
Chapter 8 – Comparing More Than Two Proportions
a a a a a a a a
Chapter 9 – Comparing More Than Two Means
a a a a a a a a
Chapter 10 – Two Quantitative Variables
a a a a a a
Chapter 11 – Modeling Randomness
a a a a
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,Chapter 1 a
Note:aaaTEa =a Textaentry TE-Na=aTextaentrya-
a NumericaMaa =a Matching MSa =a Multipleaselect
MCa =a Multipleachoice TFa=aTrue-
FalseaEa=aEasy,aMa=aMedium,aHa=aHard
CHAPTERa1aLEARNINGaOBJECTIVES
CLO1-1:aUseatheachanceamodelatoadetermineawhetheraanaobservedastatisticaisaunlikelyatoaoccur.
CLO1-2:aCalculateaandainterpretaaap-
value,aandastateatheastrengthaofaevidenceaitaprovidesaagainstatheanullahypothesis.
CLO1-
3:aCalculateaaastandardizedastatisticaforaaasingleaproportionaandaevaluateatheastrengthaofaevid
enceaitaprovidesaagainstaaanullahypothesis.
CLO1-
4:aDescribeahowatheadistanceaofatheaobservedastatisticafromatheaparameteravalueaspecifiedabyathea
nullahypothesis,asampleasize,aandaone-avs.atwo-
sidedatestsaaffectatheastrengthaofaevidenceaagainstatheanullahypothesis.
CLO1-5:aDescribeahowatoacarryaoutaaatheory-based,aone-proportionaz-test.
Section 1.1: Introduction to Chance Models
a a a a a
LO1.1-1:aRecognizeatheadifferenceabetweenaparametersaandastatistics.
LO1.1-2:aDescribeahowatoauseacoinatossingatoasimulateaoutcomesafromaaachanceamodelaofathearan-
adomachoicea betweena twoa events.
LO1.1-3:aUseatheaOneaProportionaappletatoacarryaoutatheacoinatossingasimulation.
LO1.1-
4:aIdentifyawhetheraoranotastudyaresultsaareastatisticallyasignificantaandawhetheraoranotatheacha
nceamodelaisaaaplausibleaexplanationaforatheadata.
LO1.1-
5:aImplementathea3Sastrategy:afindaaastatistic,asimulatearesultsafromaaachanceamodel,aandacom
mentaonastrengthaofaevidenceaagainstaobservedastudyaresultsahappeningabyachanceaalone.
LO1.1-
6:aDifferentiateabetweenasayingatheachanceamodelaisaplausibleaandatheachanceamodelaisatheacorre
ctaexplanationaforatheaobservedadata.
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, 1-2 TestaBankaforaIntroductionatoaStatisticalaInvestigations,a2ndaEdition
Questionsa1athrougha4:
DoaredauniformawearersatendatoawinamoreaoftenathanathoseawearingablueauniformsainaTaekwon
doamatchesawhereacompetitorsaarearandomlyaassignedatoawearaeitheraaaredaorablueauniform?aIn
aaasampleaofa80aTaekwondoamatches,athereawerea45amatchesawhereathearedauniformawearerawo
n.
1. Whataisatheaparameteraofainterestaforathisastudy?
A. Thealong-runaproportionaofaTaekwondoamatchesainawhichathearedauniformawearerawins
B. Theaproportionaofamatchesainawhichathearedauniformawearerawinsainaaasampleaofa80aTaek
wondoamatches
C. Whetherathearedauniformawearerawinsaaamatch
D.a 0.50
Ans:aA;aLO:a1.1-1;aDifficulty:aEasy;aType:aMC
2. Whataisatheastatisticaforathisastudy?
A. Thealong-runaproportionaofaTaekwondoamatchesainawhichathearedauniformawearerawins
B. Theaproportionaofamatchesainawhichathearedauniformawearerawinsainaaasampleaofa80aTaek
wondoamatches
C. Whetherathearedauniformawearerawinsaaamatch
D.a 0.50
Ans:aB;aLO:a1.1-1;aDifficulty:aEasy;aType:aMC
3. Givenabelowaisatheasimulatedadistributionaofatheanumberaofa―redawins‖athatacouldahappenabyacha
nceaaloneainaaasampleaofa80amatches.aBasedaonathisasimulation,aisaouraobservedaresultastatisticall
yasignificant?
A. Yes,asincea45aisalargerathana40.
B. Yes,asinceatheaheightaofatheadotplotaabovea45aisasmallerathanatheaheightaofatheadotp
lotaabovea40.
C. No,asincea45aisaaafairlyatypicalaoutcomeaifatheacoloraofatheawinner‘sauniformawasadete
rminedabyachanceaalone.
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