Introduction to Statistical Investigations,
B B B B
2nd Edition Nathan Tintle; Beth L. Chance C
B B B B B B B
hapters 1 - 11, Complete
B B B B
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,TABLE OF CONTENTS
B B B
Chapter 1 – Significance: How Strong is the Evidence
B B B B B B B B B
Chapter 2 – Generalization: How Broadly Do the Results Apply?
B B B B B B B B B B
Chapter 3 – Estimation: How Large is the Effect?
B B B B B B B B B
Chapter 4 – Causation: Can We Say What Caused the Effect?
B B B B B B B B B B B
Chapter 5 – Comparing Two Proportions
B B B B B B
Chapter 6 – Comparing Two Means
B B B B B B
Chapter 7 – Paired Data: One Quantitative Variable
B B B B B B B B
Chapter 8 – Comparing More Than Two Proportions
B B B B B B B B
Chapter 9 – Comparing More Than Two Means
B B B B B B B B
Chapter 10 – Two Quantitative Variables
B B B B B B
Chapter 11 – Modeling Randomness
B B B B
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,Chapter 1 B
Note:BBBTEB =B TextBentry TE-NB=BTextBentryB-
B NumericBMaB =B Matching MSB =B MultipleBselect
MCB =B MultipleBchoice TFB=BTrue-
FalseBEB=BEasy,BMB=BMedium,BHB=BHard
CHAPTER 1 LEARNING OBJECTIVES
B B B
CLO1-1:BUseBtheBchanceBmodelBtoBdetermineBwhetherBanBobservedBstatisticBisBunlikelyBtoBoccur.
CLO1-2:BCalculateBandBinterpretBaBp-
value,BandBstateBtheBstrengthBofBevidenceBitBprovidesBagainstBtheBnullBhypothesis.
CLO1-
3:BCalculateBaBstandardizedBstatisticBforBaBsingleBproportionBandBevaluateBtheBstrengthBofBevide
nceBitBprovidesBagainstBaBnullBhypothesis.
CLO1-
4:BDescribeBhowBtheBdistanceBofBtheBobservedBstatisticBfromBtheBparameterBvalueBspecifiedBbyBtheB
nullBhypothesis,BsampleBsize,BandBone-Bvs.Btwo-
sidedBtestsBaffectBtheBstrengthBofBevidenceBagainstBtheBnullBhypothesis.
CLO1-5:BDescribeBhowBtoBcarryBoutBaBtheory-based,Bone-proportionBz-test.
Section 1.1: Introduction to Chance Models
B B B B B
LO1.1-1:BRecognizeBtheBdifferenceBbetweenBparametersBandBstatistics.
LO1.1-2:BDescribeBhowBtoBuseBcoinBtossingBtoBsimulateBoutcomesBfromBaBchanceBmodelBofBtheBran-
domBchoiceBbetweenBtwoBevents.
B
LO1.1-3:BUseBtheBOneBProportionBappletBtoBcarryBoutBtheBcoinBtossingBsimulation.
LO1.1-
4:BIdentifyBwhetherBorBnotBstudyBresultsBareBstatisticallyBsignificantBandBwhetherBorBnotBtheBcha
nceBmodelBisBaBplausibleBexplanationBforBtheBdata.
LO1.1-
5:BImplementBtheB3SBstrategy:BfindBaBstatistic,BsimulateBresultsBfromBaBchanceBmodel,BandBcomm
entBonBstrengthBofBevidenceBagainstBobservedBstudyBresultsBhappeningBbyBchanceBalone.
LO1.1-
6:BDifferentiateBbetweenBsayingBtheBchanceBmodelBisBplausibleBandBtheBchanceBmodelBisBtheBcorrec
tBexplanationBforBtheBobservedBdata.
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, 1-2 TestBBankBforBIntroductionBtoBStatisticalBInvestigations,B2ndBEdition
QuestionsB1BthroughB4:
DoBredBuniformBwearersBtendBtoBwinBmoreBoftenBthanBthoseBwearingBblueBuniformsBinBTaekwond
oBmatchesBwhereBcompetitorsBareBrandomlyBassignedBtoBwearBeitherBaBredBorBblueBuniform?BInBa
BsampleBofB80BTaekwondoBmatches,BthereBwereB45BmatchesBwhereBtheB redBuniformBwearerBwon.
1. WhatBisBtheBparameterBofBinterestBforBthisBstudy?
A. TheBlong-runBproportionBofBTaekwondoBmatchesBinBwhichBtheBredBuniformBwearerBwins
B. TheBproportionBofBmatchesBinBwhichBtheBredBuniformBwearerBwinsBinBaBsampleBofB80BTaek
wondoBmatches
C. WhetherBtheBredBuniformBwearerBwinsBaBmatch
D.B 0.50
Ans:BA;BLO:B1.1-1;BDifficulty:BEasy;BType:BMC
2. WhatBisBtheBstatisticBforBthisBstudy?
A. TheBlong-runBproportionBofBTaekwondoBmatchesBinBwhichBtheBredBuniformBwearerBwins
B. TheBproportionBofBmatchesBinBwhichBtheBredBuniformBwearerBwinsBinBaBsampleBofB80BTaek
wondoBmatches
C. WhetherBtheBredBuniformBwearerBwinsBaBmatch
D.B 0.50
Ans:BB;BLO:B1.1-1;BDifficulty:BEasy;BType:BMC
3. GivenBbelowBisBtheBsimulatedBdistributionBofBtheBnumberBofB―redBwins‖BthatBcouldBhappenBbyBcha
nceBaloneBinBaBsampleBofB80Bmatches.BBasedBonBthisBsimulation,BisBourBobservedBresultBstatistically
Bsignificant?
A. Yes,BsinceB45BisBlargerBthanB40.
B. Yes,BsinceBtheBheightBofBtheBdotplotBaboveB45BisBsmallerBthanBtheBheightBofBtheBdotpl
otBaboveB40.
C. No,BsinceB45BisBaBfairlyBtypicalBoutcomeBifBtheBcolorBofBtheBwinner‘sBuniformBwasBdete
rminedBbyBchanceBalone.
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