statistics2 by keller.docx
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statistics2bykeller
CHAPTER2
GRAPHICALANDTABULAR
DESCRIPTIVETECHNIQUES
SECTIONS1
MULTIPLECHOICEQUESTIONS
Inthefollowingmultiple-choicequestions,pleasecirclethecorrectanswer.
1.Whichofthefollowingstatementsisfalse?
a.Allcalculationsarepermittedonintervaldata
b.Allcalculationsarepermittedonnominaldata
c.Themostimportantaspectofordinaldataistheorderofthedatavalues
d.Theonlypermissiblecalculationsonordinaldataareonesinvolvingarankingprocess
ANSWER:
b
2.Theaveragenumberofunitsearnedpersemesterbycollegestudentsissuspectedtoberising.AresearcheratBostonCollegewishestoestimatethenumberofunitsearnedbystudentsduringthespringsemesterof2004atBoston.Todoso,herandomlyselects250studenttranscriptsandrecordsthenumberofunitseachstudentearnedinthespringtermof2004.Thevariableofinteresttotheresearcheristhe
a.numberofstudentsenrolledatBostonCollegeduringthespringtermof2004
b.averageindebtednessofBostonCollegestudentsenrolledinthespring
c.ageofBostonCollegestudentsenrolledinthespring
d.numberofunitsearnedbyBostonCollegestudentsduringthespringtermof2004
ANSWER:
d
3.Theclassificationofstudentmajor(accounting,economics,management,marketing,other)isanexampleof
a.acategoricalrandomvariable.
b.adiscreterandomvariable
c.acontinuousrandomvariable
d.aparameter.
ANSWER:
a
4.Astudyisunderwayinnationalforesttodeterminetheadultheightofpinetrees.Specifically,thestudyisattemptingtodeterminewhatfactorsaidatreeinreachingheightsgreaterthan50feettall.Itisestimatedthattheforestcontains32,000adultpines.Thestudyinvolvescollectingheightsfrom500randomlyselectedadultpinetreesandanalyzingtheresults.Thevariableofinterestinthestudyisthe
a.ageofapinetreeinthenationalforest.
b.heightofapinetreeinthenationalforest.
c.numberofpinetreesinthenationalforest.
d.speciesoftreesinthenationalforest.
ANSWER:
b
5.Theclassificationofstudentclassdesignation(freshman,sophomore,junior,senior)isanexampleof
a.acategoricalrandomvariable.
b.adiscreterandomvariable.
c.acontinuousrandomvariable.
d.aparameter.
ANSWER:
a
6.Mostanalystsfocusonthecostoftuitionasthewaytomeasurethecostofacollegeeducation.Butincidentals,suchastextbookcosts,arerarelyconsidered.AresearcheratFerrisStateUniversitywishestoestimatethetextbookcostsoffirst-yearstudentsatFerris.Todoso,hemonitoredthetextbookcostof200first-yearstudentsandfoundthattheiraveragetextbookcostwas$275persemester.Thevariableofinteresttotheresearcheristhe
a.textbookcostoffirst-yearFerrisStateUniversitystudents.
b.yearinschoolofFerrisStateUniversitystudents.
c.ageofFerrisStateUniversitystudents.
d.costofincidentalexpensesofFerrisStateUniversitystudents.
ANSWER:
a
7.Themanagerofthecustomerservicedivisionofamajorconsumerelectronicscompanyisinterestedindeterminingwhetherthecustomerswhohavepurchasedavideocassetterecordermadebythecompanyoverthepast12monthsaresatisfiedwiththeirproducts.Thepossibleresponsestothequestion“Areyouhappy,indifferent,orunhappywiththeperformanceperdollarspentonthevideocassetterecorder?
”arevaluesfroma
a.discretenumericalrandomvariable.
b.continuousnumericalrandomvariable
c.categoricalrandomvariable.
d.parameter.
ANSWER:
c
TRUE/FALSEQUESTIONS
8.Thereareactuallyfourtypesofdata:
nominal,ordinal,interval,andratio.However,forstatisticalpurposes,thereisnodifferencebetweenintervalandratiodata,andtheauthorsofyourbookcombinethetwotypes.
ANSWER:
T
9.Quantitativevariablesusuallyrepresentmembershipingroupsorcategories.
ANSWER:
F
10.Intervaldata,suchasheights,weights,andincomes,arealsoreferredtoasquantitativeornumericaldata.
ANSWER:
T
11.Nominaldataarealsocalledqualitativeorcategoricaldata.
ANSWER:
T
12.ATPsinglesrankingsfortennisplayersisanexampleofanintervalscale.
ANSWER:
F
13.Intervaldatamaybetreatedasordinalornominal.
ANSWER:
T
14.Nominaldatamaybetreatedasordinalorinterval
ANSWER:
F
15.ProfessorHogggraduatedfromtheUniversityofIowawithacodevalue=2whileProfessorMaasgraduatedfromMichiganStateUniversitywithacodevalue=1.Thescaleofmeasurementlikelyrepresentedbythisinformationisinterval.
ANSWER:
F
16.Ordinaldatamaybetreatedasintervalbutnotasnominal.
ANSWER:
F
17.Avariableissomecharacteristicofapopulation,whiledataaretheobservedvaluesofavariablebasedonasample.
ANSWER:
F
18.Anautomobileinsuranceagentbelievesthatcompany“A”ismorereliablethancompany“B”.Thescaleofmeasurementthatthisinformationrepresentsistheordinalscale.
ANSWER:
T
STATISTICALCONCEPTS&APPLIEDQUESTIONS
19.TheDeanofStudentsconductedasurveyoncampus.SATscoreinmathematicsisanexampleofa__________,or__________variable.
ANSWER:
quantitative,numerical
20.Provideoneexamplefornominal,ordinal,andintervaldata.
ANSWER:
Nominaldataexample:
Politicalpartyaffiliationforvotersrecordedusingthecode:
1=Democrat,2=Republican,and3=Independent.
Ordinaldataexample:
ResponsetomarketresearchsurveymeasuredontheLikertscaleusingthecode:
1=Stronglyagree,2=Agree,3=Neutral,4=Disagree,and5=Stronglydisagree.
Intervaldataexample:
TemperatureintenniscourtsduringtheUSOpen
21.Thedeanofstudentsconductedasurveyoncampus.Thegenderofthestudentisanexampleofa__________,or__________variable.
ANSWER:
categorical,qualitative
22.Foreachofthefollowingexamples,identifythedatatypeasnominal,ordinal,orinterval.
a.Thelettergradesreceivedbystudentsinacomputerscienceclass
b.Thenumberofstudentsinastatisticscourse
c.ThestartingsalariesofnewlyPh.D.graduatesfromastatisticsprogram
d.Thesizeoffries(small,medium,large)orderedbyasampleofBurgerKingcustomers
e.Thecollegeyouareenrolledin(Artsandscience,Business,Education,etc.)
ANSWER:
a.Ordinal
b.Interval
c.Interval
d.Ordinal
e.Nominal
23.TheDeanofStudentsconductedasurveyoncampus.Classdesignation(Freshman,Sophomore,Junior,andSenior)isanexampleofa__________,or__________variable.
ANSWER:
categorical,qualitative
24.Mostcollegesadmitstudentsbasedontheirachievementsinanumberofdifferentareas.ThegradeobtainedinseniorlevelEnglishcourse(A,B,C,D,orF)isanexampleofa__________,or__________variable.
ANSWER:
categorical,qualitative
25.Attheendofanescortedmotorcoachvacation,thetouroperatorasksthevacationerstorespondtothequestionslistedbelow.Foreachquestion,determinewhetherthepossibleresponsesareinterval,nominal,orordinal.
a.Howmanyescortedvacationshaveyoutakenpriortothisone?
b.DoyoufeelthatthestayinNewYorkwassufficientlylong?
c.WhichofthefollowingfeaturesofthehotelinNewYorkdidyoufindmostattractive:
location,facilities,roomsize,orprice?
d.Whatisthemaximumnumberofhoursperdaythatyouwouldliketospendtraveling?
e.Wouldyouroverallratingofthistourbeexcellent,good,fair,orpoor?
ANSWER:
a.Interval
b.Nominal
c.Nominal
d.Interval
e.Ordinal
26.Foreachofthefollowing,indicatewhetherthevariableofinterestwouldbenominalorinterval.
a.WhetheryouareaUScitizen
b.Yourmaritalstatus
c.Numberofcarsinaparkinglot
d.Amountoftimeyouspendperweekonyourhomework
e.Lily’straveltimefromherdormtothestudentunionattheuniversityofIowa
f.Heidi’sfavoritebrandoftennisballs.
ANSWER:
a.Nominal
b.Nominal
c.Interval
d.Interval
e.Interval
f.Nominal
27.Inpurchasingausedautomobile,thereareanumberofvariablestoconsider.Theageofthecarisanexampleofa__________,or__________variable.
ANSWER:
quantitative,numerical
28.Inpurchasinganautomobile,thereareanumberofvariablestoconsider.Thebodystyleofthecar(sedan,coupe,wagon,etc.)isanexampleofa__________,or__________variable.
ANSWER:
categorical,qualitative
29.Beforeleavingaparticularrestaurant,customersareaskedtorespondtothequestionslistedbelow.Foreachquestion,determinewhetherthepossibleresponsesareinterval,nominal,orordinal.
a.Whatistheapproximatedistanceoftherestaurantfromyourresidence?
b.Haveyoueatenattherestaurantpreviously?
c.Onhowmanyoccasionshaveyoueatenattherestaurantpreviously?
d.Whichofthefollowingattributesoftherestaurantdoyoufindmostattractive:
service,prices,qualityofthefood,orvariedmenu?
e.Wouldyouroverallratingoftherestaurantbeexcellent,good,fair,orpoor?
ANSWER:
a.Interval
b.Nominal
c.Interval
d.Nominal
e.Ordinal
SECTION2
MULTIPLECHOICEQUESTIONS
Inthefollowingmultiple-choicequestions,pleasecirclethecorrectanswer.
30.Thebesttypeofchartforcomparingtwosetsofcategoricaldataisa
a.linechart
b.piechart
c.histogram
d.barchart
ANSWER:
d
31.Whichofthefollowingstatementsaboutpiechartsisfalse?
a.Piechartsaregraphicalrepresentationsoftherelativefrequencydistribution
b.Piechartsareusuallyusedtodisplaytherelativesizesofcategoriesforintervaldata.
c.Piechartsalwayshavetheshapeofacircle
d.Areaofeachsliceofapiechartistheproportionofthecorrespondingcategoryofthefrequencydistributionofacategoricalvariable
ANSWER:
b
32.Thetwographicaltechniquesweusuallyusetopresentn
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