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STAT 141 EXAM 2 REVIEW QUESTIONS WITH COMPLETE ANSWERS
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STAT 141 EXAM 2 REVIEW QUESTIONS WITH COMPLETE ANSWERS
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STAT 141 EXAM 2 REVIEW QUESTIONSWITH COMPLETE ANSWERS
A vvteacher vvwants vvto vvfind vvout vvwhether vvthe vvchance vvof vvdrawing vva vvJack vvis
vv7.7 vv%. vvIn vvthe vvlast vv5 vvminutes vvof vvclass, vvhe vvhas vvall vvthe vvstudent
draw vvcards vvcomma vvreplacing vvthe vvprevious vvcard vvand vvshuffling
between vveach vvdraw, vvuntil vvthe vvend vvof vvclass vvand vvthen vvreport vvtheir vvresults
vvto vvhim. vvWhich vvcondition(s) vvfor vvuse vvof vvthe vvbinomial vvmodel vvis/are vvnot
vvmet? vv- vvAnswer vv
What vvis vvanother vvname vvfor vvthe vvexpected vvvalue vvof vva vvprobability vvdistribution?
vv- vvAnswer vv
A vvpoll vvasked vvadults vvin vva vvcertain vvcountry vvwhether vvimmigration vvwas vva vvgood
vvthing vvor vva vvbad vvthing vvfor vvthe vvcountry. vvOut vvof vv1095 vvrespondents, vv572
vvsaid vvit vvwas vva vvgood vvthing.
a. vvWhat vvpercentage vvof vvthose vvtaking vvthe vvpoll vvsaid vvimmigration vvwas vva vvgood
vvthing?
b. vvCheck vvthe vvconditions vvto vvdetermine vvwhether vvyou vvcan vvapply vvthe vvCLT vvto
vvfind vva vvconfidence vvinterval.
c. vvFind vva vv95% vvconfidence vvinterval vvfor vvthe vvproportion vvwho vvbelieve
vvimmigration vvis vva vvgood vvthing. vv- vvAnswer vva. vv% vvof vvthose vvtaking vvthe vvpoll
vvsaid vvimmigration vvwas vva vvgood vvthing.
b. vvCheck vvthe vvconditions vvto vvdetermine vvwhether vvyou vvcan vvapply vvthe vvCLT vvto
vvfind vva vvconfidence vvinterval.
The vvRandom vvand vvIndependent vvcondition vv
(
vvreasonably vvbe vvassumed vvto vvhold.
The vvLarge vvSample vvcondition vv
(
The vvBig vvPopulation vvcondition vv
(
c. vvThe vv95% vvconfidence vvinterval vvis vv( vv, vv)
A vvstudy vvof vva vvpopulation vvshowed vvthat vvmales' vvbody vvtemperatures vvare
vvapproximately vvNormally vvdistributed vvwith vva vvmean vvof vv98.1 vvdegrees vvUpper vvF
vvand vva vvpopulation vvstandard vvdeviation vvof vv0.70 vvdegrees vvF. vvWhat vvbody
,vvtemperature vvdoes vva vvmale vvhave vvif vvhe vvis vvat vvthe vv85th vvpercentile? vvExplain
vvyour vvwork vvand vvsolution. vv- vvAnswer vv
Explain vvthe vvdifference vvbetween vva vvsample vvand vva vvcensus. vvEvery vv10 vvyears,
vvthe vvU.S. vvCensus vvBureau vvtakes vva vvcensus. vvWhat vvdoes vvthat vvmean?
a. vv
A vvsample vvis vva vvsurvey vvin vvwhich vvevery vvmember vvof vvthe vvpopulation vvis
vvmeasured. vvA vvcensus vvis vva vvsurvey vvin vvwhich vvevery vvmember vvof vvthe vvsample
vvis vvmeasured. vvWhen vvthe vvU.S. vvCensus vvBureau vvtakes vvaA vv vvcensus, vvit
vvconducts vva vvsurvey vvof vva vvsample vvof vvpeople vvliving vvin vvthe vvU.S.
b. vvA vvsample vvis vva vvcollection vvof vvpeople vvor vvobjects vvtaken vvfrom vvthe
vvpopulation vvof vvinterest. vvA vvcensus vvis vva vvsurvey vvin vvwhich vvevery vvmember vvof
vvthe vvpopulation vvis vvmeasured. vvWhen vvthe vvU.S. vvCensus vvBureau vvtakes vva
vvcensus, vvit vvconducts vva vvsurvey vvof vvall vvpeople vvliving vvin vvthe vvU.S.
c. vv
A vvsample vvis vva vvgroup vvof vvobjects vvor vvpeople vvwe vvwish vvto vvstudy. vvA vvcensus
vvis vva vvcollection vvof vvpeople vvor vvobjects vvtaken vvfrom vvthe vvpopulation vvof
vvinterest. vvWhen vvthe vvU.S. vvCensus vvBureau vvtakes vvaA vv vvcensus, vvit vvselects vva
vvportion vvof vvpeople vvliving vvin vvthe vvU.S.
d.A vvsample vvis vva vvgroup vvof vvobjects vvor vv- vvAnswer vv
For vveach vvsituation, vvidentify vvthe vvsample vvsize vvn, vvthe vvprobability vvof vvsuccess
vvp, vvand vvthe vvnumber vvof vvsuccesses vvx. vvGive vvthe vvanswer vvin vvthe vvform
vvb(n,p,x). vvDo vvnot vvgo vvon vvto vvfind vvthe vvprobability. vvAssume vvthe vvfour
vvconditions vvfor vva vvbinomial vvexperiment vvare vvsatisfied. vvComplete vvparts vv(a) vvand
vv(b) vvbelow. vv- vvAnswer vva. vvIn vvthe vv2004 vvpresidential vvelection, vv56% vvof vvthe
vvvoters vvvoted vvfor vva vvcertain vvcandidate. vvWhat vvis vvthe vvprobability vvthat vv72 vvout
vvof vv100 vvindependently vvchosen vvvoters vvvoted vvfor vvthis vvcandidate?
The vvprobability vvis vvb(n,p,x)equalsb vvleft vvparenthesis vvnothing vvcomma vvnothing
vvcomma vvnothing vvright vvparenthesis
.
b. vvThe vvmanufacturer vvof vva vvcertain vvvehicle vvrecovery vvsystem vvclaims vvthat vvthe
vvprobability vvthat vva vvstolen vvvehicle vvusing vvits vvproduct vvwill vvbe vvrecovered vvis vv83
%. vvWhat vvis vvthe vvprobability vvthat vvexactly vv18 vvout vvof vv25 vvindependently vvstolen
vvvehicles vvwith vvthis vvproduct vvwill vvbe vvrecovered?
The vvprobability vvis vvb(n,p,x)equalsb vvleft vvparenthesis vvnothing vvcomma vvnothing
vvcomma vvnothing vvright vvparenthesis
Betty vvand vvJane vvare vvgambling. vvThey vvare vvcutting vvcards vv(picking vva vvrandom
vvplace vvin vvthe vvdeck vvto vvsee vva vvcard). vvWhichever vvone vvhas vvthe vvhigher vvcard
vvwins vvthe vvbet. vvIf vvthe vvcards vvhave vvthe vvsame vvvalue, vvthey vvtry vvagain. vvBetty
vvand vvJane vvdo vvthis vv100 vvtimes. vvTom vvand vvBill vvare vvdoing vvthe vvsame vvthing
vvbut vvonly vvbetting vv10 vvtimes. vvIs vvit vvBill vvor vvBetty vvwho vvis vvmore vvlikely vvto vvend
, vvup vvhaving vvvery vvclose vvto vv50% vvwins? vvExplain. vvRefer vvto vvthe vvgraph vvto vvhelp
vvdecide. vvIt vvis vvone vvsimulation vvbased vvon vv100 vvtrials.
They vvare vvboth vvequally vvlikely vvto vvbe vvclose vvtoTh vv vv50% vvwins vvaccording vvto
vvthe vvLaw vvof vvLarge vvNumbers.
B.
Bill vvis vvmore vvlikely vvto vvend vvup vvhaving vvclose vvto vv50% vvwins vvas vvBetty vvis
vvbetting vvmore vvtimes vvthan vvhim vvso vvit vvis vvunlikely vvshe vvwill vvbe vvclose vvto vv50%
vvwins.
C.
Betty vvis vvmore vvlikely vvto vvend vvup vvhaving vvclose vvto vv50% vvwins vvas vvshe vvis
vvbetting vvmore vvtimes vvand vvthe vvLaw vvof vvLarge vvNumbers vvsays vvthat vvthe vvmore
vvtimes vva vvrandom vvexperiment vvis vvrepeated vvthe vvcloser vvit vvcomes vvto vvthe vvtrue
vvproba vv- vvAnswer vv
A vvpoll vvreported vvthat vvonly vv1365 vvout vvof vva vvtotal vvof vv1718 vvadults vvin vva
vvparticular vvregion vvsaid vvthey vvhad vva vv"great vvdeal vvof vvconfidence" vvor vv"quite vva
vvlot vvof vvconfidence" vvin vvthe vvmilitary. vvAssume vvthe vvconditions vvfor vvusing vvthe
vvCLT vvare vvmet. vvComplete vvparts vv(a) vvthrough vv(d) vvbelow.
a. vvFind vva vv99% vvconfidence vvinterval vvfor vvthe vvproportion vvthat vvexpress vva vvgreat
vvdeal vvof vvconfidence vvor vvquite vva vvlot vvof vvconfidence vvin vvthe vvmilitary, vvand
vvinterpret vvthis vvinterval.
The vv99% vvconfidence vvinterval vvfor vvthe vvproportion vvthat vvexpress vva vvgreat vvdeal
vvof vvconfidence vvor vvquite vva vvlot vvof vvconfidence vvin vvthe vvmilitary vvis vvleft
vvparenthesis vvnothing vvcomma vvnothing vvright vvparenthesis
.
(Round vvto vvthree vvdecimal vvplaces vvas vvneeded.)
Interpret vvthis vvinterval. vvSelect vvthe vvcorrect vvchoice vvbelow vvand vvfill vvin vvthe
vvanswer vvboxes vvto vvcomplete vvyour vvchoice.
(Type vvintegers vvor vvdecimals vvrounded vvto vvthree vvdecimal vvplaces vvas vvneeded.)
A.
There vvis vva vv
nothing% vvchance vvthat vvthe vvpopulation vvproportion vvof vvad vv- vvAnswer vv
According vvto vva vvnewspaper, vv30% vvof vvbicycles vvstolen vvin vva vvcertain vvcountry
vvare vvrecovered. vvFind vvthe vvprobability vvthat, vvin vva vvsample vvof vv5 vvrandomly
vvselected vvcases vvof vvbicycles vvstolen vvin vvthe vvcountry, vvexactly vv4 vvout vvof vv5
vvbikes vvare vvrecovered. vv
Explain vvwhat vvyou vvare vvusing vvto vvcalculate vvthis vvand vvverify vvthat vvall vvthe
vvconditions vvare vvmet vvto vvuse vvit. vv vvThen, vvdescribe vvyour vvsolution vvin vvterms vvof
vvthe vvproblem. vv- vvAnswer vv
The vvhomicide vvclearance vvrate vvin vva vvcertain vvstate vvis vv55%. vvA vvcrime vvis
vvcleared vvwhen vvan vvarrest vvis vvmade, vva vvcrime vvis vvcharged, vvand vvthe vvcase vvis
vvreferred vvto vva vvcourt.
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