Introduction to Statistical Investigations,
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2nd Edition Nathan Tintle; Beth L. Chance C
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hapters 1 - 11, Complete
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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 – 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 s
Note:sssTEs =s Textsentry TE-Ns=sTextsentrys-
sNumericsMas =s Matching MSs =s Multiplesselect
MCs =s Multipleschoice TFs=sTrue-
FalsesEs=sEasy,sMs=sMedium,sHs=sHard
CHAPTER 1 LEARNING OBJECTIVES
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CLO1-1:sUsestheschancesmodelstosdetermineswhethersansobservedsstatisticsissunlikelystosoccur.
CLO1-2:sCalculatesandsinterpretsasp-
value,sandsstatesthesstrengthsofsevidencesitsprovidessagainststhesnullshypothesis.
CLO1-
3:sCalculatesasstandardizedsstatisticsforsassinglesproportionsandsevaluatesthesstrengthsofsevidenc
esitsprovidessagainstsasnullshypothesis.
CLO1-
4:sDescribeshowsthesdistancesofsthesobservedsstatisticsfromsthesparametersvaluesspecifiedsbysthesnul
lshypothesis,ssamplessize,sandsone-svs.stwo-
sidedstestssaffectsthesstrengthsofsevidencesagainststhesnullshypothesis.
CLO1-5:sDescribeshowstoscarrysoutsastheory-based,sone-proportionsz-test.
Section 1.1: Introduction to Chance Models
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LO1.1-1:sRecognizesthesdifferencesbetweensparameterssandsstatistics.
LO1.1-2:sDescribeshowstosusescoinstossingstossimulatesoutcomessfromsaschancesmodelsofsthesran-
sdomschoices betweens twos events.
LO1.1-3:sUsesthesOnesProportionsappletstoscarrysoutsthescoinstossingssimulation.
LO1.1-
4:sIdentifyswhethersorsnotsstudysresultssaresstatisticallyssignificantsandswhethersorsnotstheschanc
esmodelsissasplausiblesexplanationsforsthesdata.
LO1.1-
5:sImplementsthes3Ssstrategy:sfindsasstatistic,ssimulatesresultssfromsaschancesmodel,sandscomme
ntsonsstrengthsofsevidencesagainstsobservedsstudysresultsshappeningsbyschancesalone.
LO1.1-
6:sDifferentiatesbetweenssayingstheschancesmodelsissplausiblesandstheschancesmodelsissthescorrectse
xplanationsforsthesobservedsdata.
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, 1-2 TestsBanksforsIntroductionstosStatisticalsInvestigations,s2ndsEdition
Questionss1sthroughs4:
DosredsuniformswearersstendstoswinsmoresoftensthansthoseswearingsbluesuniformssinsTaekwondos
matchesswherescompetitorssaresrandomlysassignedstoswearseithersasredsorsbluesuniform?sInsassam
plesofs80sTaekwondosmatches,stheresweres45smatchesswheresthesredsuniformswearerswon.
1. Whatsissthesparametersofsinterestsforsthissstudy?
A. Theslong-runsproportionsofsTaekwondosmatchessinswhichsthesredsuniformswearerswins
B. Thesproportionsofsmatchessinswhichsthesredsuniformswearerswinssinsassamplesofs80sTaekwo
ndosmatches
C. Whethersthesredsuniformswearerswinssasmatch
D.s 0.50
Ans:sA;sLO:s1.1-1;sDifficulty:sEasy;sType:sMC
2. Whatsissthesstatisticsforsthissstudy?
A. Theslong-runsproportionsofsTaekwondosmatchessinswhichsthesredsuniformswearerswins
B. Thesproportionsofsmatchessinswhichsthesredsuniformswearerswinssinsassamplesofs80sTaekwo
ndosmatches
C. Whethersthesredsuniformswearerswinssasmatch
D.s 0.50
Ans:sB;sLO:s1.1-1;sDifficulty:sEasy;sType:sMC
3. Givensbelowsissthessimulatedsdistributionsofsthesnumbersofs―redswins‖sthatscouldshappensbyschance
salonesinsassamplesofs80smatches.sBasedsonsthisssimulation,sissoursobservedsresultsstatisticallyssignifi
cant?
A. Yes,ssinces45sisslargersthans40.
B. Yes,ssincesthesheightsofsthesdotplotsaboves45sisssmallersthansthesheightsofsthesdotplots
aboves40.
C. No,ssinces45sissasfairlystypicalsoutcomesifsthescolorsofstheswinner‘ssuniformswassdeterm
inedsbyschancesalone.
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