商务统计学笔试复习题.docx
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商务统计学笔试复习题
一、Themanagerofthecustomerservicedivisionofamajorconsumerelectronicscompanyisinterestedindeterminingwhetherthecustomerswhohavepurchasedavideocassetterecordermadebythecompanyoverthepast12monthsaresatisfiedwiththeirproducts.
1.,thepopulationofinterestis
a)allthecustomerswhohaveboughtavideocassetterecordermadebythecompanyoverthepast12months.
b)allthecustomerswhohaveboughtavideocassetterecordermadebythecompanyandbroughtitinforrepairoverthepast12months.
c)allthecustomerswhohaveusedavideocassetterecorderoverthepast12months.
d)allthecustomerswhohaveeverboughtavideocassetterecordermadebythecompany.
ANSWER:
a
2.,whichofthefollowingwillbeagoodframefordrawingasample?
a)Telephonedirectory.
b)Votingregistry.
c)Thelistofcustomerswhoreturnedtheregistrationcard.
d)Alistofpotentialcustomerspurchasedfromadatabasemarketingcompany.
ANSWER:
c
3.thepossibleresponsestothequestion"Howmanyvideocassetterecordersmadebyothermanufacturershaveyouused?
"arevaluesfroma
a)discreterandomvariable.
b)continuousrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
a
4.thepossibleresponsestothequestion"Areyouhappy,indifferent,orunhappywiththeperformanceperdollarspentonthevideocassetterecorder?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
c
TYPE:
MCDIFFICULTY:
Easy
KEYWORDS:
categoricalrandomvariable,typesofdata
5.thepossibleresponsestothequestion"Whatisyourannualincomeroundedtothenearestthousands?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
a
6.thepossibleresponsestothequestion"Howmuchtimedoyouusethevideocassetterecordereveryweekontheaverage?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
b
7.thepossibleresponsestothequestion"Howmanypeoplearethereinyourhousehold?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
a
8.thepossibleresponsestothequestion"Howwouldyouratethequalityofyourpurchaseexperiencewith1=excellent,2=good,3=decent,4=poor,5=terrible?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
c
9.thepossibleresponsestothequestion"Whatbrandofvideocassetterecorderdidyoupurchase?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
c
10.thepossibleresponsestothequestion"Outofa100pointscorewith100beingthehighestand0beingthelowest,whatisyoursatisfactionlevelonthevideocassetterecorderthatyoupurchased?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
a
11.thepossibleresponsestothequestion"Inwhichyearwereyouborn?
"arevaluesfroma
a)discretenumericalrandomvariable.
b)continuousnumericalrandomvariable.
c)categoricalrandomvariable.
d)parameter.
ANSWER:
a
二、Thechancellorofamajoruniversitywasconcernedaboutalcoholabuseonhercampusandwantedtofindouttheproportionofstudentsatheruniversitywhovisitedcampusbarsontheweekendbeforethefinalexamweek.Herassistanttookarandomsampleof250students.Thetotalnumberofstudentsinthesamplewhovisitedcampusbarsontheweekendbeforethefinalexamweekisanexampleof
e)acategoricalrandomvariable.
f)adiscreterandomvariable.
g)acontinuousrandomvariable.
h)aparameter.
ANSWER:
b
三、Thechancellorofamajoruniversitywasconcernedaboutalcoholabuseonhercampusandwantedtofindouttheproportionofstudentsatheruniversitywhovisitedcampusbarsontheweekendbeforethefinalexamweek.Herassistanttookarandomsampleof250studentsandcomputedtheportionofstudentsinthesamplewhovisitedcampusbarsontheweekendbeforethefinalexam.Theportionofallstudentsatheruniversitywhovisitedcampusbarsontheweekendbeforethefinalexamweekisanexampleof
i)acategoricalrandomvariable.
j)adiscreterandomvariable.
k)acontinuousrandomvariable.
l)aparameter.
ANSWER:
d
四、Thechancellorofamajoruniversitywasconcernedaboutalcoholabuseonhercampusandwantedtofindouttheproportionofstudentsatheruniversitywhovisitedcampusbarsontheweekendbeforethefinalexamweek.Herassistanttookarandomsampleof250students.Theportionofstudentsinthesamplewhovisitedcampusbarsontheweekendbeforethefinalexamweekisanexampleof__________.
m)acategoricalrandomvariable.
n)adiscreterandomvariable.
o)aparameter.
p)astatistic
ANSWER:
d
五、Theorderedarraybelowresultedfromtakingasampleof25batchesof500computerchipsanddetermininghowmanyineachbatchweredefective.
Defects
1244556799121215
172021232325262727282929
1.ReferringtoTable2-11,ifafrequencydistributionforthedefectsdataisconstructed,using"0butlessthan5"asthefirstclass,thefrequencyofthe“20butlessthan25”classwouldbe________.
ANSWER:
4
2.ReferringtoTable2-11,ifafrequencydistributionforthedefectsdataisconstructed,using"0butlessthan5"asthefirstclass,therelativefrequencyofthe“15butlessthan20”classwouldbe________.
ANSWER:
0.08or8%or2/25
3.ReferringtoTable2-11,constructafrequencydistributionforthedefectsdata,using"0butlessthan5"asthefirstclass.
ANSWER:
DefectsFrequency
0butlessthan54
5butlessthan106
10butlessthan152
15butlessthan202
20butlessthan254
25butlessthan307
4.ReferringtoTable2-11,constructarelativefrequencyorpercentagedistributionforthedefectsdata,using"0butlessthan5"asthefirstclass.
ANSWER:
DefectsPercentage
0butlessthan516
5butlessthan1024
10butlessthan158
15butlessthan208
20butlessthan2516
25butlessthan3028
5.ReferringtoTable2-11,constructacumulativepercentagedistributionforthedefectsdataifthecorrespondingfrequencydistributionuses"0butlessthan5"asthefirstclass.
ANSWER:
DefectsCumPct
00
516
1040
1548
2056
2572
30100
6.ReferringtoTable2-11,constructahistogramforthedefectsdata,using"0butlessthan5"asthefirstclass.
ANSWER:
7.ReferringtoTable2-11,constructacumulativepercentagepolygonforthedefectsdataifthecorrespondingfrequencydistributionuses"0butlessthan5"asthefirstclass.
ANSWER:
六、Healthcareissuesarereceivingmuchattentioninbothacademicandpoliticalarenas.Asociologistrecentlyconductedasurveyofcitizensover60yearsofagewhosenetworthistoohightoqualifyforMedicaidandhavenoprivatehealthinsurance.Theagesof25uninsuredseniorcitizenswereasfollows:
60616263646566686869707373
747576768181828687899092
1.ReferringtoTable3-1,calculatethearithmeticmeanageoftheuninsuredseniorcitizenstothenearesthundredthofayear.
ANSWER:
74.04years
2.ReferringtoTable3-1,identifythemedianageoftheuninsuredseniorcitizens.
ANSWER:
73years
3.ReferringtoTable3-1,identifythefirstquartileoftheagesoftheuninsuredseniorcitizens.
ANSWER:
65.5years
4.ReferringtoTable3-1,identifythethirdquartileoftheagesoftheuninsuredseniorcitizens.
ANSWER:
81.5years
5.ReferringtoTable3-1,identifytheinterquartilerangeoftheagesoftheuninsuredseniorcitizens.
ANSWER:
16years
6.ReferringtoTable3-1,identifywhichofthefollowingisthecorrectstatement.
a)Onefourthoftheseniorcitizenssampledarebelow65.5yearsofage.
b)Themiddle50%oftheseniorcitizenssampledarebetween65.5and73.0yearsofage.
c)Theaverageageofseniorcitizenssampledis73.5yearsofage.
d)Alloftheabovearecorrect.
ANSWER:
a
7.ReferringtoTable3-1,identifywhichofthefollowingisthecorrectstatement.
a)Onefourthoftheseniorcitizenssampledarebelow64yearsofage.
b)Themiddle50%oftheseniorcitizenssampledarebetween65.5and73.0yearsofage.
c)25%oftheseniorcitizenssampledareolderthan81.5yearsofage.
d)Alloftheabovearecorrect.
ANSWER:
c
8.ReferringtoTable3-1,whattypeofshapedoesthedistributionofthesampleappeartohave?
ANSWER:
Slightlypositiveorright-skewed.
9.ReferringtoTable3-1,calculatethevarianceoftheagesoftheuninsuredseniorcitizenscorrecttothenearesthundredthofayearsquared.
ANSWER:
94.96years2
10.ReferringtoTable3-1,calculatethestandarddeviationoftheagesoftheuninsuredseniorcitizenscorrecttothenearesthundredthofayear.
ANSWER:
9.74years
11.ReferringtoTable3-1,calculatethecoefficientofvariationoftheagesoftheuninsuredseniorcitizens.
ANSWER:
13.16%
七、Thestem-and-leafdisplaybelowrepresentsthenumberofcargomanifestsapprovedbycustomsinspectorsofthePortofNewYorkinasampleof35days.
STEMLEAVES
1H67889
2L33444
2H5566678899
3L1122
Note
(1):
1Hmeansthe“highteens”15,16,17,18,or19;2Lmeansthe“lowtwenties”20,21,22,23,or24;2Hmeansthe“hightwenties”25,26,