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1. Arizona State University STP 231
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STP 231-Ophthalmologists studying the treatment of using
1. Ophthalmologistsstudyingthe treatmentof usinganinfraredlaserprocedure intenpatientswith
visionlosscausedbydryage-relatedmaculardegeneration(AMD) foundthe followingdataonvisual
acuity(VA) before andafterthe procedure.Assumea.05 significance level totestthe claimthatthere is
a difference betweenthe numberof VA linesthatcanbe read by individualsbefore andafterthe
procedure.Also,assume the dataconsistof matched pairs,the samplesare simple randomsamples,and
the pairs of valuesare froma populationhavingadistributionthatisapproximatelynormal.
Individual 1 2 3 4 5 6 7 8 9 10 VA Lines
ReadBefore 3 4 2 4 5 3 4 5 3 3 Laser
Procedure VA LinesReadAfter 4 4 5 5 6 3 7 6
3 5 LaserProcedure Constructa 95% confidence interval estimate of the mean
difference betweenthe before andafternumberof visual acuitylinesread.Give youranswerwithtwo
decimals,e.g.,(12.34,56.78)(Points:0.5) 2. Biologistsare investigatingif theireffortstopreventerosion
on the bankof a streamhave beenstatisticallysignificant.
For thisstream,a narrow channel widthisagood indicatorthaterosionisnotoccurring.Test the claim
that the meanwidthof tenlocations withinthe streamisgreaterthan3.7 meters.Assume thatasimple
randomsample hasbeentaken,the populationstandarddeviationisnotknown,andthe populationis
normallydistributed.

2. Use the followingsample data:3.33.33.54.93.54.14.157.36.2 What isthe P-value associatedwithyour
teststatistic?Reportyouranswerwiththree decimals,e.g.,.987 . (Points:1) 3. The paireddataconsist
of the cost of regionallyadvertising(inthousandsof dollars) acertainpharmaceutical drugandthe
numberof newprescriptionswritten(inthousands).
Cost 9 2 3 4 2 5 9 10 Number 85 52 55
68 67 86 83 73 Findthe value of the linearcorrelationcoefficientr.Give
your answertothree decimals,e.g.,.987. (Points:0.5) 4. Use a .05 significance level andthe observed
frequenciesof 144 drowningsatthe beachesof a randomlyselectedcoastal state totestthe claimthat
the numberof drowningsforeachmonthis equallylikely.
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec 1 3
2 7 14 20 37 33 16 6 2 3 Determine the value
of the ?2 test statistic.Give youranswertotwodecimals,e.g.,12.34 . (Points:0.5) 5. Usinga .01
significance level,testthe claimthatthe proportionsof fear/donotfearresponsesare the same for
male and female dentalpatients.
GenderMale Female FearDentistry 48 70 Do Not FearDentistry 21 32 Do you
rejectthe null hypothesis,atthe .01 significance level?EnterYfor yes(reject),N forno(fail toreject).
(Points:0.5) 6. The table representsresultsfromanexperimentwithpatientsafflictedwitheczemaon
botharms. Each patientwastreatedwithan immune modulatorcreamonone arm anda topical steroid
cream onthe otherarm.
Using a .05 significance level,applyMcNemar'stesttotestthe followingclaim:The proportionof
patientswithnocure on the immune modulatortreatedarmanda cure on the topical steroidtreated
arm is the same as the proportionof patientswithacure on the immune modulatortreatedarmandno
cure onthe topical steroidtreatedarm.Immune ModulatorCreamCureNo Cure Topical SteroidCure
25 11 Cream No Cure 42 22 Determine the value of the ?
2 teststatistic.Give youranswertotwo decimals,e.g.,12.34(Points:0.5) 7. Geneticistsstudyingcarriers
of geneticdiseasesfollowedsubjectssubdividedbyrace.Researchersrandomlyselectedsevenpatients
perrace who hadbeenidentifiedascarryinga certaingene fora geneticdisease;thesepatientswere
followedtodeterminethe numberof theirsiblingswhoalsocarriedthe gene forthe geneticdisease.
Use a One-WayANOVA ata .05 significancelevel totestthe claimthatthe meansfromthe different
races are not all the same.

3. Caucasian African-American Other2 0 0 3 0 1 3 1 2 3 2
2 4 2 2 5 2 3 5 4 4 Determine the valueof the Fteststatistic.
Give youranswerto two decimals,e.g.,12.34. (
Points: 0.5) 8. Use the followingtechnologydisplayfromaTwo-WayANOVA toanswerthisquestion.
Biologistsstudyinghabitatuse inLepidopteranmothsmeasuredthe numberof savannahmothsfound
at three randomlyselectedprairie siteswithtwopotential habitatinterferences(expansionof rowcrops
and grazing).Use a .05 significance level.
Source Df SS MS F P Site 2 .1905 .0952 .0381 .9627 Habitat 1
304.0238 304.0238 121.6095 .0000 Site*Habitat 2 .1905 .0952 .0381
.9627 Do yourejectthe null hypothesisanboutthe habitateffect,atthe .05 significance level?
Enter Y for yes(reject),N forno(fail toreject).(Points:0.5)
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