Solutions for Introductory Statistics, 15th Edition by Prem S. Mann.pdf

EXERCISES:SHAFER
P P




ANDZHANG
P

,CHAPTER OVERVIEW P




EXERCISES: SHAFER AND ZHANG
P P P

TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

1. E:PINTRODUCTIONPTOPSTATISTICSP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

2. E:PDESCRIPTIVEPSTATISTICSP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

3. E:PBASICPCONCEPTSPOFPPROBABILITYP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

4. E:PDISCRETEPRANDOMPVARIABLESP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

5. E:PCONTINUOUSPRANDOMPVARIABLESP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

6. E:PSAMPLINGPDISTRIBUTIONSP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

7. E:PESTIMATIONP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

8. E:PTESTINGPHYPOTHESESP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

9. E:PTWO-SAMPLEPPROBLEMSP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

10. E:PCORRELATIONPANDPREGRESSIONP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

11. E:PCHI-SQUAREPTESTSPANDPF-TESTSP(EXERCISES)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

BACKPMATTER
PINDEX

,1. E:PIntroductionPtoPStatisticsP(Exercises)
TheseParePhomeworkPexercisesPtoPaccompanyPthePTextmapPcreatedPforP"IntroductoryPStatistics"PbyPShaferPandPZhang.

1.1 :PBasicPDefinitionsPandPConcepts

PExercises
1. ExplainPwhatPisPmeantPbyPthePtermPpopulation.
2. ExplainPwhatPisPmeantPbyPthePtermPsample.
3. ExplainPhowPaPsamplePdiffersPfromPaPpopulation.
4. ExplainPwhatPisPmeantPbyPthePtermPsamplePdata.
5. ExplainPwhatPaPparameterPis.
6. ExplainPwhatPaPstatisticPis.
7. GivePanPexamplePofPaPpopulationPandPtwoPdifferentPcharacteristicsPthatPmayPbePofPinterest.
8. DescribePthePdifferencePbetweenPdescriptivePstatisticsPandPinferentialPstatistics.PIllustratePwithPanPexample.
9. IdentifyPeachPofPthePfollowingPdataPsetsPasPeitherPaPpopulationPorPaPsample:
a. ThePgradePpointPaveragesP(GPAs)PofPallPstudentsPatPaPcollege.
b. ThePGPAsPofPaPrandomlyPselectedPgroupPofPstudentsPonPaPcollegePcampus.
c. ThePagesPofPthePninePSupremePCourtPJusticesPofPthePUnitedPStatesPonPJanuaryP1,P 1842.
d. ThePgenderPofPeveryPsecondPcustomerPwhoPentersPaPmoviePtheater.
e. ThePlengthsPofPAtlanticPcroakersPcaughtPonPaPfishingPtripPtoPthePbeach.
10. IdentifyPthePfollowingPmeasuresPasPeitherPquantitativePorPqualitative:
a. TheP30Phigh-temperaturePreadingsPofPthePlastP30Pdays.
b. ThePscoresPofP40PstudentsPonPanPEnglishPtest.
c. ThePbloodPtypesPofP120PteachersPinPaPmiddlePschool.
d. ThePlastPfourPdigitsPofPsocialPsecurityPnumbersPofPallPstudentsPinPaPclass.
e. ThePnumbersPonPthePjerseysPofP53PfootballPplayersPonPaPteam.
11. IdentifyPthePfollowingPmeasuresPasPeitherPquantitativePorPqualitative:
a. ThePgendersPofPthePfirstP40PnewbornsPinPaPhospitalPonePyear.
b. ThePnaturalPhairPcolorPofP20PrandomlyPselectedPfashionPmodels.
c. ThePagesPofP20PrandomlyPselectedPfashionPmodels.
d. ThePfuelPeconomyPinPmilesPperPgallonPofP20PnewPcarsPpurchasedPlastPmonth.
e. ThePpoliticalPaffiliationPofP500PrandomlyPselectedPvoters.
12. APresearcherPwishesPtoPestimatePthePaveragePamountPspentPperPpersonPbyPvisitorsPtoPaPthemePpark.PHePtakesPaPrandomP
samplePofPfortyPvisitorsPandPobtainsPanPaveragePofP$28PperPperson.
a. WhatPisPthePpopulationPofPinterest?
b. WhatPisPthePparameterPofPinterest?
c. BasedPonPthisPsample,PdoPwePknowPthePaveragePamountPspentPperPpersonPbyPvisitorsPtoPthePpark?PExplainPfully.
13. AP researcherP wishesP toP estimateP theP averageP weightP ofP newbornsP inP SouthP AmericaP inP theP lastP fiveP years.P HeP takes
P aPrandomPsamplePofP235PnewbornsPandPobtainsPanPaveragePofP3.27Pkilograms.


a. WhatPisPthePpopulationPofPinterest?
b. WhatPisPthePparameterPofPinterest?
c. BasedPonPthisPsample,PdoPwePknowPthePaveragePweightPofPnewbornsPinPSouthPAmerica?PExplainPfully.
14. APresearcherPwishesPtoPestimatePthePproportionPofPallPadultsPwhoPownPaPcellPphone.PHePtakesPaPrandomPsamplePofP1,P572
adults;P1,P298PofPthemPownPaPcellPphone,PhenceP1298/1572P≈P0.83orPaboutP83%PownPaPcellPphone.

1.E.1 1/10/2022 https://stats.libretexts.org/@go/page/1093

, a. WhatPisPthePpopulationPofPinterest?
b. WhatPisPthePparameterPofPinterest?
c. WhatPisPthePstatisticPinvolved?
d. BasedPonPthisPsample,PdoPwePknowPthePproportionPofPallPadultsPwhoPownPaPcellPphone?PExplainPfully.
15. APsociologistPwishesPtoPestimatePthePproportionPofPallPadultsPinPaPcertainPregionPwhoPhavePneverPmarried.PInPaPrandomP
samplePofP1,P320Padults,P145PhavePneverPmarried,PhenceP145/1320P≈P0.11orPaboutP11%PhavePneverPmarried.
a. WhatPisPthePpopulationPofPinterest?
b. WhatPisPthePparameterPofPinterest?
c. WhatPisPthePstatisticPinvolved?
d. BasedPonPthisPsample,PdoPwePknowPthePproportionPofPallPadultsPwhoPhavePneverPmarried?PExplainPfully.
16. a.PWhatPmustPbePtruePofPaPsamplePifPitPisPtoPgivePaPreliablePestimatePofPthePvaluePofPaPparticularPpopulationPparameter?
b.P WhatPmustPbePtruePofPaPsamplePifPitPisPtoPgivePcertainPknowledgePofPthePvaluePofPaPparticularPpopulationPparameter?

Answers
1. APpopulationPisPthePtotalPcollectionPofPobjectsPthatParePofPinterestPinPaPstatisticalPstud
y.P2.
3.PAPsample,PbeingPaPsubset,PisPtypicallyPsmallerPthanPthePpopulation.PInPaPstatisticalPstudy,PallPelementsPofPaPsampleParePav
ailablePforPobservation,PwhichPisPnotPtypicallyPthePcasePforPaPpopulation.
4.
5.PAPparameterPisPaPvaluePdescribingPaPcharacteristicPofPaPpopulation.PInPaPstatisticalPstudyPthePvaluePofPaPparameterPisPtyp
icallyPunknown.
6.
7.PAllPcurrentlyPregisteredPstudentsPatPaPparticularPcollegePformPaPpopulation.PTwoPpopulationPcharacteristicsPofPinterestPco
uldPbePthePaveragePGPAPandPthePproportionPofPstudentsPoverP23Pyears.
8.
9. a.PPopulation.
b. Sample.
c. Population.
d. Sample.
e. Sample.
10.
11. a.PQualitative.
b. Qualitative.
c. Quantitative.
d. Quantitative.
e. Qualitative.
12.
13. a.PAllPnewbornPbabiesPinPSouthPAmericaPinPthePlastPfivePyears.
b.PThePaveragePbirthPweightPofPallPnewbornPbabiesPinPSouthPAmericaPinPthePlastPfivePyears.
c.PNo,PnotPexactly,PbutPwePknowPthePapproximatePvaluePofPthePaverage.
14.
15. a.PAllPadultsPinPthePregion.
b. ThePproportionPofPthePadultsPinPthePregionPwhoPhavePneverPmarried.
c. ThePproportionPcomputedPfromPthePsample,P0.1.
d. No,PnotPexactly,PbutPwePknowPthePapproximatePvaluePofPthePproportion.

1.2 :POverview




1.E.2 1/10/2022 https://stats.libretexts.org/@go/page/1093