Introduction to Statistical Investigations,
2nd Edition Nathan Tintle; Beth L. Chance
Chapters 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?
v v v v v v v v v v v
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 v
Note:vvvTEv =v Textventry TE-Nv=vTextventryv-
v NumericvMav =v Matching MSv =v Multiplevselect
MCv =v Multiplevchoice TFv=vTrue-
FalsevEv=vEasy,vMv=vMedium,vHv=vHard
CHAPTER 1 LEARNING OBJECTIVES
v v v
CLO1-1:vUsevthevchancevmodelvtovdeterminevwhethervanvobservedvstatisticvisvunlikelyvtovoccur.
CLO1-2:vCalculatevandvinterpretvavp-
value,vandvstatevthevstrengthvofvevidencevitvprovidesvagainstvthevnullvhypothesis.
CLO1-
3:vCalculatevavstandardizedvstatisticvforvavsinglevproportionvandvevaluatevthevstrengthvofveviden
cevitvprovidesvagainstvavnullvhypothesis.
CLO1-
4:vDescribevhowvthevdistancevofvthevobservedvstatisticvfromvthevparametervvaluevspecifiedvbyvthevn
ullvhypothesis,vsamplevsize,vandvone-vvs.vtwo-
sidedvtestsvaffectvthevstrengthvofvevidencevagainstvthevnullvhypothesis.
CLO1-5:vDescribevhowvtovcarryvoutvavtheory-based,vone-proportionvz-test.
Section 1.1: Introduction to Chance Models
v v v v v
LO1.1-1:vRecognizevthevdifferencevbetweenvparametersvandvstatistics.
LO1.1-2:vDescribevhowvtovusevcoinvtossingvtovsimulatevoutcomesvfromvavchancevmodelvofvthevran-
vdomvchoicev betweenv twov events.
LO1.1-3:vUsevthevOnevProportionvappletvtovcarryvoutvthevcoinvtossingvsimulation.
LO1.1-
4:vIdentifyvwhethervorvnotvstudyvresultsvarevstatisticallyvsignificantvandvwhethervorvnotvthevchanc
evmodelvisvavplausiblevexplanationvforvthevdata.
LO1.1-
5:vImplementvthev3Svstrategy:vfindvavstatistic,vsimulatevresultsvfromvavchancevmodel,vandvcomme
ntvonvstrengthvofvevidencevagainstvobservedvstudyvresultsvhappeningvbyvchancevalone.
LO1.1-
6:vDifferentiatevbetweenvsayingvthevchancevmodelvisvplausiblevandvthevchancevmodelvisvthevcorrectv
explanationvforvthevobservedvdata.
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, 1-2 TestvBankvforvIntroductionvtovStatisticalvInvestigations,v2ndvEdition
Questionsv1vthroughv4:
DovredvuniformvwearersvtendvtovwinvmorevoftenvthanvthosevwearingvbluevuniformsvinvTaekwondo
vmatchesvwherevcompetitorsvarevrandomlyvassignedvtovwearveithervavredvorvbluevuniform?vInvavsa
mplevofv80vTaekwondovmatches,vtherevwerev45vmatchesvwherevthevredvuniformvwearervwon.
1. Whatvisvthevparametervofvinterestvforvthisvstudy?
A. Thevlong-runvproportionvofvTaekwondovmatchesvinvwhichvthevredvuniformvwearervwins
B. Thevproportionvofvmatchesvinvwhichvthevredvuniformvwearervwinsvinvavsamplevofv80vTaekw
ondov matches
C. Whethervthevredvuniformvwearervwinsvavmatch
D.v 0.50
Ans:vA;vLO:v1.1-1;vDifficulty:vEasy;vType:vMC
2. Whatvisvthevstatisticvforvthisvstudy?
A. Thevlong-runvproportionvofvTaekwondovmatchesvinvwhichvthevredvuniformvwearervwins
B. Thevproportionvofvmatchesvinvwhichvthevredvuniformvwearervwinsvinvavsamplevofv80vTaekw
ondov matches
C. Whethervthevredvuniformvwearervwinsvavmatch
D.v 0.50
Ans:vB;vLO:v1.1-1;vDifficulty:vEasy;vType:vMC
3. Givenvbelowvisvthevsimulatedvdistributionvofvthevnumbervofv―redvwins‖vthatvcouldvhappenvbyvchanc
evalonevinvavsamplevofv80vmatches.vBasedvonvthisvsimulation,visvourvobservedvresultvstatisticallyvsig
nificant?
A. Yes,vsincev45visvlargervthanv40.
B. Yes,vsincevthevheightvofvthevdotplotvabovev45visvsmallervthanvthevheightvofvthevdotplo
tvabovev40.
C. No,vsincev45visvavfairlyvtypicalvoutcomevifvthevcolorvofvthevwinner‘svuniformvwasvdeter
minedvbyvchancevalone.
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