Introduction to Statistical Investigations,
2nd Edition Nathan Tintle; Beth L. Chance
Chapters 1 - 11, Complete
TABLE OF CONTENTS X
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,ChapterX1X–XSignificance:XHowXStrongXisXtheXEvidenceX
ChapterX2X–
Generalization:XHowXBroadlyXDoXtheXResultsXApply?X
X
ChapterX3X–XEstimation:XHowXLargeXisXtheXEffect?X
ChapterX4X–XCausation:XCanXWeXSayXWhatXCausedXtheXEffect?X
ChapterX5X–XComparingXTwoXProportionsX
ChapterX6X–XComparingXTwoXMeansX
ChapterX7X–XPairedXData:XOneXQuantitativeXVariableX
ChapterX8X–XComparingXMoreXThanXTwoXProportionsX
ChapterX9X–XComparingXMoreXThanXTwoXMeansX
ChapterX10X–XTwoXQuantitativeXVariablesX
ChapterX11X–XModelingXRandomness
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,Chapter X 1
Note:XXXTEX =X TextXentry TE-NX=XTextXentryX-
XNumericXMaX =X Matching MSX =X MultipleXselect
MCX =X MultipleXchoice TFX=XTrue-
FalseXEX=XEasy,XMX=XMedium,XHX=XHard
CHAPTERX1XLEARNINGXOBJECTIVES
CLO1-1:XUseXtheXchanceXmodelXtoXdetermineXwhetherXanXobservedXstatisticXisXunlikelyXtoXoccur.
CLO1-2:XCalculateXandXinterpretXaXp-
value,XandXstateXtheXstrengthXofXevidenceXitXprovidesXagainstXtheXnullXhypothesis.
CLO1-
3:XCalculateXaXstandardizedXstatisticXforXaXsingleXproportionXandXevaluateXtheXstrengthXof
XevidenceXitXprovidesXagainstXaXnullXhypothesis.
CLO1-
4:XDescribeXhowXtheXdistanceXofXtheXobservedXstatisticXfromXtheXparameterXvalueXspecifiedXb
yXtheXnullXhypothesis,XsampleXsize,XandXone-Xvs.Xtwo-
sidedXtestsXaffectXtheXstrengthXofXevidenceXagainstXtheXnullXhypothesis.
CLO1-5:XDescribeXhowXtoXcarryXoutXaXtheory-based,Xone-proportionXz-test.
SectionX1.1:XIntroductionXtoXChanceXModels
LO1.1-1:XRecognizeXtheXdifferenceXbetweenXparametersXandXstatistics.
LO1.1-2:XDescribeXhowXtoXuseXcoinXtossingXtoXsimulateXoutcomesXfromXaXchanceXmodelXofXtheXran-
XdomXchoiceXbetweenXtwoXevents.
LO1.1-3:XUseXtheXOneXProportionXappletXtoXcarryXoutXtheXcoinXtossingXsimulation.
LO1.1-
4:XIdentifyXwhetherXorXnotXstudyXresultsXareXstatisticallyXsignificantXandXwhetherXorXnotXt
heXchanceXmodelXisXaXplausibleXexplanationXforXtheXdata.
LO1.1-
5:XImplementXtheX3SXstrategy:XfindXaXstatistic,XsimulateXresultsXfromXaXchanceXmodel,Xand
XcommentXonXstrengthXofXevidenceXagainstXobservedXstudyXresultsXhappeningXbyXchanceXa
lone.
LO1.1-
6:XDifferentiateXbetweenXsayingXtheXchanceXmodelXisXplausibleXandXtheXchanceXmodelXisXtheX
correctXexplanationXforXtheXobservedXdata.
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, 1-2 TestXBankXforXIntroductionXtoXStatisticalXInvestigations,X2ndXEdition
QuestionsX1XthroughX4:
DoXredXuniformXwearersXtendXtoXwinXmoreXoftenXthanXthoseXwearingXblueXuniformsXinXTae
kwondoXmatchesXwhereXcompetitorsXareXrandomlyXassignedXtoXwearXeitherXaXredXorXblueX
uniform?XInXaXsampleXofX80XTaekwondoXmatches,XthereXwereX45XmatchesXwhereXtheXredXu
niformXwearerXwon.
1. WhatXisXtheXparameterXofXinterestXforXthisXstudy?
A. TheXlong-
runXproportionXofXTaekwondoXmatchesXinXwhichXtheXredXuniformXwearerXwins
B. TheXproportionXofXmatchesXinXwhichXtheXredXuniformXwearerXwinsXinXaXsampleXofX8
0XTaekwondoXmatches
C. WhetherXtheXredXuniformXwearerXwinsXaXmatch
D.X 0.50
Ans:XA;XLO:X1.1-1;XDifficulty:XEasy;XType:XMC
2. WhatXisXtheXstatisticXforXthisXstudy?
A. TheXlong-
runXproportionXofXTaekwondoXmatchesXinXwhichXtheXredXuniformXwearerXwins
B. TheXproportionXofXmatchesXinXwhichXtheXredXuniformXwearerXwinsXinXaXsampleXofX8
0XTaekwondoXmatches
C. WhetherXtheXredXuniformXwearerXwinsXaXmatch
D.X 0.50
Ans:XB;XLO:X1.1-1;XDifficulty:XEasy;XType:XMC
3. GivenXbelowXisXtheXsimulatedXdistributionXofXtheXnumberXofX―redXwins‖XthatXcouldXhappenX
byXchanceXaloneXinXaXsampleXofX80Xmatches.XBasedXonXthisXsimulation,XisXourXobservedXresu
ltXstatisticallyXsignificant?
A. Yes,XsinceX45XisXlargerXthanX40.
B. Yes,XsinceXtheXheightXofXtheXdotplotXaboveX45XisXsmallerXthanXtheXheightXofXth
eXdotplotXaboveX40.
C. No,XsinceX45XisXaXfairlyXtypicalXoutcomeXifXtheXcolorXofXtheXwinner‘sXuniformXw
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