APPENDIX
621
Female
Male
Accounting
68
56
Administration
91
40
Ecomonics
5
6
Finance
61
59
Table14.7
:Doesthedatasuggestthatthereisarelationshipbetweenthegenderofstudentsandtheir
choiceofmajor?
Exercise14.1.34
(Solutiononp.669.)
Thedistributionforthetestis:
A. Chi
2
8
B. Chi
2
3
C. t
721
D. N(0,1)
Exercise14.1.35
(Solutiononp.669.)
TheexpectednumberoffemalewhochooseFinanceis:
A. 37
B. 61
C. 60
D. 70
Exercise14.1.36
(Solutiononp.669.)
Thep-valueis0.0127andthelevelofsignificanceis0.05.Theconclusiontothetestis:
A. Thereisinsufficientevidencetoconcludethatthechoiceofmajorandthegenderofthestudent
arenotindependentofeachother.
B. Thereissufficientevidencetoconcludethatthechoiceofmajorandthegenderofthestudent
arenotindependentofeachother.
C. ThereissufficientevidencetoconcludethatstudentsfindEconomicsveryhard.
D. ThereisinsufficientevidencetoconcludethatmorefemalespreferAdministrationthanmales.
Exercise14.1.37
(Solutiononp.669.)
Anagencyreportedthattheworkforcenationwideiscomposedof10%professional,10%clerical,
30%skilled,15%service,and35%semiskilledlaborers.Arandomsampleof100SanJoseresidents
indicated15professional,15clerical,40skilled,10service,and20semiskilledlaborers.Ata=.10
doestheworkforce inSanJose appeartobeconsistentwiththeagencyreportforthenation?
Whichkindoftestisit?
A. Chi
2
goodnessoffit
B. Chi
2
testofindependence
C. Independentgroupsproportions
D. Unabletodetermine
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622
APPENDIX
14.2PracticeFinalExam2
2
Exercise14.2.1
(Solutiononp.669.)
Astudywasdone to determine the proportionofteenagersthat ownacar. . The e population
proportionofteenagersthatownacaristhe
A. statistic
B. parameter
C. population
D. variable
Thenexttwoquestionsrefertothefollowingdata:
value
frequency
0
1
1
4
2
7
3
9
6
4
Table14.8
Exercise14.2.2
(Solutiononp.669.)
Theboxplotforthedatais:
A.
B.
C.
2
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APPENDIX
623
D.
Exercise14.2.3
(Solutiononp.669.)
If6wereaddedtoeachvalueofthedatainthetable,the15thpercentileofthenewlistofvalues
is:
A. 6
B. 1
C. 7
D. 8
Thenexttwoquestionsrefertothefollowingsituation:
Supposethattheprobabilityofadroughtinanyindependentyearis20%. Outofthoseyearsinwhicha
droughtoccurs,theprobabilityofwaterrationingis10%. However,inanyyear,theprobabilityofwater
rationingis5%.
Exercise14.2.4
(Solutiononp.669.)
Whatistheprobabilityofbothadroughtandwaterrationingoccurring?
A. 0.05
B. 0.01
C. 0.02
D. 0.30
Exercise14.2.5
(Solutiononp.669.)
Whichofthefollowingistrue?
A. droughtandwaterrationingareindependentevents
B. droughtandwaterrationingaremutuallyexclusiveevents
C. noneoftheabove
Thenexttwoquestionsrefertothefollowingsituation:
Supposethatasurveyyieldedthefollowingdata:
FavoritePieType
gender
apple
pumpkin
pecan
female
40
10
30
male
20
30
10
Table14.9
Exercise14.2.6
(Solutiononp.669.)
Supposethatoneindividualisrandomlychosen.Theprobabilitythattheperson’sfavoritepieis
appleorthepersonismaleis:
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624
APPENDIX
A.
40
60
B.
60
140
C.
120
140
D.
100
140
Exercise14.2.7
(Solutiononp.669.)
SupposeH
o
is:Favoritepietypeandgenderareindependent.
Thep-valueis:
A. 0
B. 1
C. 0.05
D. cannotbedetermined
Thenexttwoquestionsrefertothefollowingsituation:
Let’ssaythattheprobabilitythatanadultwatchesthenewsatleastonceperweekis0.60. Werandomly
survey14people.Ofinterestisthenumberthatwatchthenewsatleastonceperweek.
Exercise14.2.8
(Solutiononp.669.)
WhichofthefollowingstatementsisFALSE?
A. XB(14,0.60)
B. Thevaluesforxare:f1,2,3,...,14g
C. m=8.4
D. P(X=5)=0.0408
Exercise14.2.9
(Solutiononp.669.)
Findtheprobabilitythatatleast6adultswatchthenews.
A.
6
14
B. 0.8499
C. 0.9417
D. 0.6429
Exercise14.2.10
(Solutiononp.669.)
Thefollowinghistogramismostlikelytobearesultofsamplingfromwhichdistribution?
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APPENDIX
625
A. Chi-Squarewithdf=6
B. Exponential
C. Uniform
D. Binomial
Theagesofcampusdayandeveningstudentsisknowntobenormallydistributed.Asampleof6campus
dayandeveningstudentsreportedtheirages(inyears)as:f18,35,27,45,20,20g
Exercise14.2.11
(Solutiononp.670.)
Whatistheerrorboundforthe90%confidenceintervalofthetrueaverageage?
A. 11.2
B. 22.3
C. 17.5
D. 8.7
Exercise14.2.12
(Solutiononp.670.)
Ifanormallydistributedrandomvariablehas=0ands=1,then97.5%ofthepopulation
valueslieabove:
A. -1.96
B. 1.96
C. 1
D. -1
Thenextthreequestionsrefertothefollowingsituation:
Theamountofmoneyacustomerspendsinonetriptothesupermarketisknowntohaveanexponential
distribution. Supposetheaverageamountofmoneyacustomerspendsinonetriptothesupermarketis
$72.
Exercise14.2.13
(Solutiononp.670.)
Whatistheprobabilitythatonecustomerspendslessthan$72inonetriptothesupermarket?
A. 0.6321
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626
APPENDIX
B. 0.5000
C. 0.3714
D. 1
Exercise14.2.14
(Solutiononp.670.)
Howmuchmoneyaltogetherwouldyou expectnext 5customerstospendinonetriptothe
supermarket(indollars)?
A. 72
B.
72
2
5
C. 5184
D. 360
Exercise14.2.15
(Solutiononp.670.)
Ifyouwanttofindtheprobabilitythatthemeanof50customersislessthan$60,thedistribution
touseis:
A. N(72,72)
B. N
72,
72
p
50
C. Exp(72)
D. Exp
1
72
Thenextthreequestionsrefertothefollowingsituation:
Theamountoftimeittakesafourthgradertocarryoutthetrashisuniformlydistributedintheinterval
from1to10minutes.
Exercise14.2.16
(Solutiononp.670.)
Whatistheprobabilitythatarandomlychosenfourthgradertakesmorethan7minutestotake
outthetrash?
A.
3
9
B.
7
9
C.
3
10
D.
7
10
Exercise14.2.17
(Solutiononp.670.)
Whichgraphbestshowstheprobabilitythatarandomlychosenfourthgradertakesmorethan6
minutestotakeoutthetrashgiventhathe/shehasalreadytakenmorethan3minutes?
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APPENDIX
627
Exercise14.2.18
(Solutiononp.670.)
Weshouldexpectafourthgradertotakehowmanyminutestotakeoutthetrash?
A. 4.5
B. 5.5
C. 5
D. 10
Thenextthreequestionsrefertothefollowingsituation:
Atthebeginningofthequarter,theamountoftimeastudentwaitsinlineatthecampuscafeteriaisnor-
mallydistributedwithameanof5minutesandastandarddeviationof1.5minutes.
Exercise14.2.19
(Solutiononp.670.)
Whatisthe90thpercentileofwaitingtimes(inminutes)?
A. 1.28
B. 90
C. 7.47
D. 6.92
Exercise14.2.20
(Solutiononp.670.)
Themedianwaitingtime(inminutes)foronestudentis:
A. 5
B. 50
C. 2.5
D. 1.5
Exercise14.2.21
(Solutiononp.670.)
Findtheprobabilitythattheaveragewaittimeof10studentsisatmost5.5minutes.
A. 0.6301
B. 0.8541
C. 0.3694
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628
APPENDIX
D. 0.1459
Exercise14.2.22
(Solutiononp.670.)
Asampleof80softwareengineersinSiliconValleyistakenanditisfoundthat20%ofthemearn
approximately$50,000peryear. ApointestimateforthetrueproportionofengineersinSilicon
Valleywhoearn$50,000peryearis:
A. 16
B. 0.2
C. 1
D. 0.95
Exercise14.2.23
(Solutiononp.670.)
IfP(Z<z
a
)=0.1587whereZN(0,1),thenaisequalto:
A. -1
B. 0.1587
C. 0.8413
D. 1
Exercise14.2.24
(Solutiononp.670.)
Aprofessortested35studentstodeterminetheirenteringskills. Attheendoftheterm,after
completingthe course, the sametest wasadministeredto thesame 35studentstostudytheir
improvement.Thiswouldbeatestof:
A. independentgroups
B. 2proportions
C. matchedpairs,dependentgroups
D. exclusivegroups
Exercise14.2.25
(Solutiononp.670.)
Amathexamwasgiventoallthethird grade childrenattendingABCSchool. . Two o random
samplesofscoresweretaken.
n
x
s
Boys
55
82
5
Girls
60
86
7
Table14.10
Whichofthefollowingcorrectlydescribestheresultsofahypothesistestoftheclaim,“Thereis
adifferencebetweenthemeanscoresobtainedbythirdgradegirlsandboysatthe5%levelof
significance”?
A. Donotreject H
o
. There e isinsufficientevidencetoconclude thatthereisadifferenceinthe
meanscores.
B. DonotrejectH
o
.Thereissufficientevidencetoconcludethatthereisadifferenceinthemean
scores.
C. RejectH
o
. Thereisinsufficientevidencetoconcludethatthereisnodifferenceinthemean
scores.
D. RejectH
o
.Thereissufficientevidencetoconcludethatthereisadifferenceinthemeanscores.
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APPENDIX
629
Exercise14.2.26
(Solutiononp.670.)
Inasurveyof80males,45hadplayedanorganizedsportgrowingup.Ofthe70femalessurveyed,
25hadplayedanorganizedsportgrowingup. Weareinterestedinwhethertheproportionfor
malesishigherthantheproportionforfemales.Thecorrectconclusionis:
A. Thereisinsufficientinformationtoconcludethattheproportionformalesisthesameasthe
proportionforfemales.
B. Thereisinsufficientinformationtoconcludethattheproportionformalesisnotthesameas
theproportionforfemales.
C. Thereissufficientevidencetoconcludethattheproportionformalesishigherthanthepro-
portionforfemales.
D. Notenoughinformationtodetermine.
Exercise14.2.27
(Solutiononp.670.)
Note:Chi-SquareTestofaSingleVariance;Notallclassescoverthistopic.Frompastexperience,
astatisticsteacherhasfoundthattheaveragescoreonamidtermis81withastandarddeviation
of5.2.Thisterm,aclassof49studentshadastandarddeviationof5onthemidterm.Dothedata
indicatethatweshouldrejecttheteacher’sclaimthatthestandarddeviationis5.2?Usea=0.05.
A. Yes
B. No
C. Notenoughinformationgiventosolvetheproblem
Exercise14.2.28
(Solutiononp.670.)
Note: FDistributionTestofANOVA;Notallclassescoverthistopic. . Threeloadingmachines
arebeingcompared. Tensamplesweretakenforeachmachine. MachineItookanaverageof31
minutestoloadpackageswithastandarddeviationof2minutes.MachineIItookanaverageof28
minutestoloadpackageswithastandarddeviationof1.5minutes.MachineIIItookanaverageof
29minutestoloadpackageswithastandarddeviationof1minute.Findthep-valuewhentesting
thattheaverageloadingtimesarethesame.
A. thep–valueiscloseto0
B. p–valueiscloseto1
C. Notenoughinformationgiventosolvetheproblem
Thenextthreequestionsrefertothefollowingsituation:
Acorporationhasofficesindifferentpartsofthecountry. Ithasgatheredthefollowinginformationcon-
cerningthenumberofbathroomsandthenumberofemployeesatsevensites:
Numberofemployeesx
650
730
810
900
102
107
1150
Numberofbathroomsy
40
50
54
61
82
110
121
Table14.11
Exercise14.2.29
(Solutiononp.670.)
Isthecorrelationbetweenthenumberofemployeesandthenumberofbathroomssignificant?
A. Yes
B. No
C. Notenoughinformationtoanswerquestion
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630
APPENDIX
Exercise14.2.30
(Solutiononp.670.)
Thelinearregressionequationis:
A. ˆy=0.0094 79.96x
B. ˆy=79.96+0.0094x
C. ˆy=79.96 0.0094x
D. ˆy0.0094+79.96x
Exercise14.2.31
(Solutiononp.670.)
Ifasitehas1150employees,approximatelyhowmanybathroomsshouldithave?
A. 69
B. 91
C. 91,954
D. Weshouldnotbeestimatinghere.
Exercise14.2.32
(Solutiononp.670.)
Note:Chi-SquareTestofaSingleVariance;Notallclassescoverthistopic.Supposethatasample
ofsize10wascollected,with
x=4.4ands=1.4.
H
o
:s2=1.6vs.H
a
:s26=1.6.Whichgraphbestdescribestheresultsofthetest?
Exercise14.2.33
(Solutiononp.670.)
64backpackerswereaskedthenumberofdaystheirlatestbackpackingtripwas.Thenumberof
daysisgiveninthetablebelow:
#ofdays
1
2
3
4
5
6
7
8
Frequency
5
9
6
12
7
10
5
10
Table14.12
Conductanappropriatetesttodetermineifthedistributionisuniform.
A. Thep–valueis>0.10.Thereisinsufficientinformationtoconcludethatthedistributionisnot
uniform.
B. Thep–valueis<0.01. Thereissufficientinformationtoconcludethedistributionisnotuni-
form.
C. Thep–valueisbetween0.01and0.10,butwithoutalpha(a)thereisnotenoughinformation
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