商务统计学笔试复习题.docx

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

2L0011122223333444

2H5566678899

3L1122

Note

（1）:

1Hmeansthe“highteens”15,16,17,18,or19;2Lmeansthe“lowtwenties”20,21,22,23,or24;2Hmeansthe“hightwenti