601
CNN
FOX
Local
45
15
72
12
43
37
18
68
56
38
50
60
23
31
51
35
22
Table13.11
Assumethatalldistributionsarenormal,thefourpopulationstandarddeviationsareapproxi-
matelythesame,andthedatawerecollectedindependentlyandrandomly.Usealevelofsignifi-
canceof0.05.
Exercise13.8.12
Arethemeansforthefinalexamsthesameforallstatisticsclassdeliverytypes?Thetablebelow
showsthescoresonfinalexamsfromseveralrandomlyselectedclassesthatusedthedifferent
deliverytypes.
Online
Hybrid
Face-to-Face
72
83
80
84
73
78
77
84
84
80
81
81
81
86
79
82
Table13.12
Assumethatalldistributionsarenormal,thefourpopulationstandarddeviationsareapproxi-
matelythesame,andthedatawerecollectedindependentlyandrandomly.Usealevelofsignifi-
canceof0.05.
Exercise13.8.13
(Solutiononp.611.)
Arethemeannumberoftimesamonthapersoneatsoutsameforwhites,blacks,Hispanicsand
Asians?Supposethatthetablebelowshowstheresultsofastudy.
White
Black
Hispanic
Asian
6
4
7
8
8
1
3
3
2
5
5
5
4
2
4
1
6
6
7
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602
CHAPTER13. FDISTRIBUTIONANDONE-WAYANOVA
Table13.13
Assumethatalldistributionsarenormal,thefourpopulationstandarddeviationsareapproxi-
matelythesame,andthedatawerecollectedindependentlyandrandomly.Usealevelofsignifi-
canceof0.05.
Exercise13.8.14
Arethemeannumberofdailyvisitorstoaskiresortthesameforthethreetypesofsnowcondi-
tions?Supposethatthetablebelowshowstheresultsofastudy.
Powder
MachineMade
HardPacked
1210
2107
2846
1080
1149
1638
1537
862
2019
941
1870
1178
1528
2233
1382
Table13.14
Assumethatalldistributionsarenormal,thefourpopulationstandarddeviationsareapproxi-
matelythesame,andthedatawerecollectedindependentlyandrandomly.Usealevelofsignifi-
canceof0.05.
Exercise13.8.15
(Solutiononp.611.)
Isthevariancefortheamountofmoney,indollars,thatshoppersspendonSaturdaysatthemall
thesameasthevariancefortheamountofmoneythatshoppersspendonSundaysatthemall?
Supposethatthetablebelowshowstheresultsofastudy.
Saturday
Sunday
75
44
62
137
18
58
0
82
150
61
124
39
94
19
50
127
62
99
31
141
73
60
118
73
89
Table13.15
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603
Assumethatbothdistributionsarenormal.Usealevelofsignificanceof0.05.
Exercise13.8.16
ArethevariancesforincomesontheEastCoastandtheWestCoastthesame?Supposethatthe
tablebelowshowstheresultsofastudy.Incomeisshowninthousandsofdollars.
East
West
38
71
47
126
30
42
82
51
75
44
52
90
115
88
67
Table13.16
Assumethatbothdistributionsarenormal.Usealevelofsignificanceof0.05.
**Exercises11-16werecontributedbyDr.LarryGreen
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604
CHAPTER13. FDISTRIBUTIONANDONE-WAYANOVA
13.9Review
11
Thenexttwoquestionsrefertothefollowingsituation:
Supposethattheprobabilityofadroughtinanyindependentyearis20%. Outofthoseyearsinwhicha
droughtoccurs,theprobabilityofwaterrationingis10%. However,inanyyear,theprobabilityofwater
rationingis5%.
Exercise13.9.1
(Solutiononp.611.)
Whatistheprobabilityofbothadroughtandwaterrationingoccurring?
Exercise13.9.2
(Solutiononp.611.)
Outoftheyearswithwaterrationing,findtheprobabilitythatthereisadrought.
Thenextthreequestionsrefertothefollowingsurvey:
FavoriteTypeofPiebyGender
apple
pumpkin
pecan
female
40
10
30
male
20
30
10
Table13.17
Exercise13.9.3
(Solutiononp.611.)
Supposethatoneindividualisrandomlychosen. Findtheprobabilitythattheperson’sfavorite
pieisappleorthepersonismale.
Exercise13.9.4
(Solutiononp.611.)
Supposethatonemaleisrandomlychosen.Findtheprobabilityhisfavoritepieispecan.
Exercise13.9.5
(Solutiononp.611.)
Conductahypothesistesttodetermineiffavoritepietypeandgenderareindependent.
Thenexttwoquestionsrefertothefollowingsituation:
Let’ssaythattheprobabilitythatanadultwatchesthenewsatleastonceperweekis0.60.
Exercise13.9.6
(Solutiononp.611.)
Werandomlysurvey14people.Onaverage,howmanypeopledoweexpecttowatchthenews
atleastonceperweek?
Exercise13.9.7
(Solutiononp.611.)
Werandomlysurvey14people. Ofinterestisthenumberthatwatchthenewsatleastonceper
week.StatethedistributionofX.X
Exercise13.9.8
(Solutiononp.611.)
Thefollowinghistogramismostlikelytobearesultofsamplingfromwhichdistribution?
11
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605
Figure13.4
A. Chi-Square
B. Geometric
C. Uniform
D. Binomial
Exercise13.9.9
(Solutiononp.611.)
TheagesofDeAnzaeveningstudentsisknowntobenormallydistributedwithapopulation
meanof40andapopulationstandarddeviationof6. Asampleof6DeAnzaeveningstudents
reportedtheirages(inyears)as:28;35;47;45;30;50.Findtheprobabilitythatthemeanof6ages
ofrandomlychosenstudentsislessthan35years.Hint:Findthesamplemean.
Thenextthreequestionsrefertothefollowingsituation:
Theamountofmoneyacustomerspendsinonetriptothesupermarketisknowntohaveanexponential
distribution.Supposethemeanamountofmoneyacustomerspendsinonetriptothesupermarketis$72.
Exercise13.9.10
(Solutiononp.612.)
Findtheprobabilitythatonecustomerspendslessthan$72inonetriptothesupermarket?
Exercise13.9.11
(Solutiononp.612.)
Suppose5customerspooltheir money. . (Theyarepoorcollegestudents.) Howmuchmoney
altogetherwouldyouexpectthe5customerstospendinonetriptothesupermarket(indollars)?
Exercise13.9.12
(Solutiononp.612.)
Statethedistributiontouseifyouwanttofindtheprobabilitythatthemeanamountspentby5
customersinonetriptothesupermarketislessthan$60.
Exercise13.9.13
(Solutiononp.612.)
AmathexamwasgiventoallthefifthgradechildrenattendingCountrySchool. Tworandom
samplesofscoresweretaken.Thenullhypothesisisthatthemeanmathscoresforboysandgirls
infifthgradearethesame.Conductahypothesistest.
n
x
s
2
Boys
55
82
29
Girls
60
86
46
Table13.18
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606
CHAPTER13. FDISTRIBUTIONANDONE-WAYANOVA
Exercise13.9.14
(Solutiononp.612.)
Inasurveyof80males,55hadplayedanorganizedsportgrowingup.Ofthe70femalessurveyed,
25hadplayedanorganizedsportgrowingup. Weareinterestedinwhethertheproportionfor
malesishigherthantheproportionforfemales.Conductahypothesistest.
Exercise13.9.15
(Solutiononp.612.)
Whichofthefollowingispreferablewhendesigningahypothesistest?
A. Maximizeaandminimizeb
B. Minimizeaandmaximizeb
C. Maximizeaandb
D. Minimizeaandb
Thenextthreequestionsrefertothefollowingsituation:
120peopleweresurveyedastotheirfavoritebeverage(non-alcoholic).Theresultsarebelow.
PreferredBeveragebyAge
0–9
10–19
20–29
30+
Totals
Milk
14
10
6
0
30
Soda
3
8
26
15
52
Juice
7
12
12
7
38
Totals
24
30
44
22
120
Table13.19
Exercise13.9.16
(Solutiononp.612.)
Aretheeventsofmilkand30+:
a. Independentevents?Justifyyouranswer.
b. Mutuallyexclusiveevents?Justifyyouranswer.
Exercise13.9.17
(Solutiononp.612.)
Supposethatonepersonisrandomlychosen. Findtheprobabilitythatpersonis10–19given
thathe/sheprefersjuice.
Exercise13.9.18
(Solutiononp.612.)
ArePreferredBeverageandAgeindependentevents?Conductahypothesistest.
Exercise13.9.19
(Solutiononp.612.)
Giventhefollowinghistogram,whichdistributionisthedatamostlikelytocomefrom?
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607
Figure13.5
A. uniform
B. exponential
C. normal
D. chi-square
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608
CHAPTER13. FDISTRIBUTIONANDONE-WAYANOVA
13.10Lab:One-WayANOVA
12
ClassTime:
Names:
13.10.1StudentLearningOutcome:
 ThestudentwillconductasimpleOne-WayANOVAtestinvolvingthreevariables.
13.10.2CollecttheData
1. Record the e price per pound of 8 fruits, , 8 8 vegetables, , and d 8 8 breads s in your r local l supermar-
ket.
Fruits
Vegetables
Breads
Table13.20
2. Explainhowyoucouldtrytocollectthedatarandomly.
13.10.3AnalyzetheDataandConductaHypothesisTest
1. Computethefollowing:
a. Fruit:
i.
x=
ii. s
x
=
iii. n=
a. Vegetables:
i.
x=
ii. s
x
=
iii. n=
a. Bread:
i.
x=
ii. s
x
=
iii. n=
12
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609
2. Findthefollowing:
a. df(num)=
b. df(denom)=
3. Statetheapproximatedistributionforthetest.
4. Teststatistic:F=
5. Sketchagraphofthissituation.CLEARLY,labelandscalethehorizontalaxisandshadetheregion(s)
correspondingtothep-value.
6. p-value=
7. Testata=0.05.Stateyourdecisionandconclusion.
8. a. Decision:Whydidyoumakethisdecision?
b. Conclusion(writeacompletesentence).
c. Basedontheresultsofyourstudy,isthereaneedtofurtherinvestigateanyofthefoodgroups’
prices?Whyorwhynot?
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610
CHAPTER13. FDISTRIBUTIONANDONE-WAYANOVA
SolutionstoExercisesinChapter13
SolutiontoExample13.3,Problem2(p.592)
 F=0.9496
 p value=0.4402
Fromthesampledata,theevidenceisnotsufficienttoconcludethatthemeanheightsofthebeanplants
aredifferent.
SolutionstoPractice:One-WayANOVA
SolutiontoExercise13.7.2(p.597)
df(1)=4
SolutiontoExercise13.7.3(p.597)
df(2)=15
SolutiontoExercise13.7.4(p.597)
Teststatistic=F=4.22
SolutiontoExercise13.7.5(p.597)
0.017
SolutionstoHomework
SolutiontoExercise13.8.1(p.599)
a. H
o
:m
L
=m
T
=m
J
c. df(n)=2;df(d)=12
e. 0.67
f. 0.5305
h. Decision: Donotrejectnull;Conclusion: Thereisinsufficientevidencetoconcludethatthemeansare
different.
SolutiontoExercise13.8.3(p.599)
c. df(n)=4;df(d)=4
e. 3.00
f. 2(0.1563)=0.3126. UsingtheTI-83+/84+function2-SampFtest,yougetthetheteststatisticas2.9986
andp-valuedirectlyas0.3127.Ifyouinputthelistsinadifferentorder,yougetateststatisticof0.3335
butthep-valueisthesamebecausethisisatwo-tailedtest.
h. Decision:Donotrejectnull;Conclusion:Thereisinsufficientevidencetoconcludethatthevariancesare
different.
SolutiontoExercise13.8.5(p.600)
c. df(n)=6;df(d)=98
e. 1.69
f. 0.1319
h. Decision: Donotrejectnull;Conclusion: Thereisinsufficientevidencetoconcludethatthemeanlap
timesaredifferent.
SolutiontoExercise13.8.7(p.600)
a. H
o
:m
d
=m
n
=m
h
=m
c
b. AlternateHypothesis:Atleastonepairofmeansisdifferent
c. df(n)=3;df(d)=16
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