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Chapter07-SamplingandSamplingDistributions

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PAGE

MultipleChoice

1.

Fromagroupof12students,wewanttoselectarandomsampleof5studentstoserveonauniversitycommittee.Howmanycombinationsofrandomsamplesof5studentscanbeselected?

a.

60

b.

95,040

c.

25

d.

792

ANSWER:

d

2.

Parametersare

a.

numericalcharacteristicsofasample.

b.

numericalcharacteristicsofapopulation.

c.

theaveragestakenfromasample.

d.

numericalcharacteristicsofeitherasampleorapopulation.

ANSWER:

b

3.

Howmanysimplerandomsamplesofsize3canbeselectedfromapopulationofsize8?

a.

336

b.

24

c.

56

d.

6561

ANSWER:

c

4.

Howmanysimplerandomsamplesofsize4canbeselectedfromapopulationofsize8?

a.

32

b.

4

c.

1680

d.

70

ANSWER:

d

5.

Samplingdistributionof

isthe

a.

probabilitydistributionofthesamplemean.

b.

probabilitydistributionofthesampleproportion.

c.

meanofthesample.

d.

meanofthepopulation.

ANSWER:

a

6.

Asimplerandomsampleof100observationswastakenfromalargepopulation.Thesamplemeanandthestandarddeviationweredeterminedtobe50and5,respectively.Thestandarderrorofthemeanis

a.

0.5.

b.

2.

c.

5.

d.

10.

ANSWER:

a

7.

Asimplerandomsampleof100observationswastakenfromalargepopulation.Thesamplemeanandthestandarddeviationweredeterminedtobe1234and120respectively.Thestandarderrorofthemeanis

a.

1234±120.

b.

120.

c.

1.2.

d.

12.

ANSWER:

d

8.

Apopulationhasastandarddeviationof16.Ifasampleofsize64isselectedfromthispopulation,whatistheprobabilitythatthesamplemeanwillbewithin±2ofthepopulationmean?

a.

0.6826

b.

0.3413

c.

-0.6826

d.

Sincethemeanisnotgiven,thereisnoanswertothisquestion.

ANSWER:

a

9.

Theprobabilitydistributionofallpossiblevaluesofthesampleproportion

isthe

a.

probabilitydensityfunctionof.

b.

samplingdistributionof.

c.

sameas,sinceitconsidersallpossiblevaluesofthesampleproportion.

d.

samplingdistributionof.

ANSWER:

d

10.

Incomputingthestandarderrorofthemean,thefinitepopulationcorrectionfactorisusedwhen

a.

N/n>0.05.

b.

N/n0.05.

c.

n/N>0.05.

d.

n/N30.

ANSWER:

c

11.

Conveniencesamplingisanexampleof_____

sampling.

a.

probabilistic

b.

stratified

c.

nonprobabilistic

d.

cluster

ANSWER:

c

12.

Whichofthefollowingisanexampleofnonprobabilisticsampling?

a.

Simplerandomsampling

b.

Stratifiedsimplerandomsampling

c.

Clustersampling

d.

Judgmentsampling

ANSWER:

d

13.

Apopulationconsistsof500elements.Wewanttodrawasimplerandomsampleof50elementsfromthispopulation.Onthefirstselection,theprobabilityofanelementbeingselectedis

a.

0.100.

b.

0.010.

c.

0.001.

d.

0.002.

ANSWER:

d

14.

Thecloserthesamplemeanistothepopulationmean,

a.

thelargerthesamplingerror.

b.

thesmallerthesamplingerror.

c.

thesamplingerrorequals1.

d.

noneofthesealternativesiscorrect.

ANSWER:

b

15.

Asthesamplesizeincreases,the

a.

standarddeviationofthepopulationdecreases.

b.

populationmeanincreases.

c.

standarderrorofthemeandecreases.

d.

standarderrorofthemeanincreases.

ANSWER:

c

16.

Asimplerandomsamplefromaninfinitepopulationisasampleselectedsuchthat

a.

eachelementisselectedindependentlyandfromthesamepopulation.

b.

eachelementhasa0.5probabilityofbeingselected.

c.

eachelementhasaprobabilityofatleast0.5ofbeingselected.

d.

theprobabilityofbeingselectedchanges.

ANSWER:

a

17.

Apopulationconsistsof15items.Thenumberofdifferentsimplerandomsamplesofsize3thatcanbeselectedfromthispopulationis

a.

45.

b.

455.

c.

3375.

d.

2730.

ANSWER:

b

18.

Inpointestimation

a.

datafromthepopulationisusedtoestimatethepopulationparameter.

b.

datafromthesampleisusedtoestimatethepopulationparameter.

c.

datafromthesampleisusedtoestimatethesamplestatistic.

d.

themeanofthepopulationequalsthemeanofthesample.

ANSWER:

b

19.

Thesamplestatisticsisthepointestimatorof

a.

μ.

b.

σ.

c.

.

d.

.

ANSWER:

b

20.

Thesamplemeanisthepointestimatorof

a.

μ.

b.

σ.

c.

.

d.

.

ANSWER:

a

21.

Ifweconsiderthesimplerandomsamplingprocessasanexperiment,thesamplemeanis

a.

alwayszero.

b.

alwayssmallerthanthepopulationmean.

c.

arandomvariable.

d.

exactlyequaltothepopulationmean.

ANSWER:

c

22.

Asthesamplesizebecomeslarger,thesamplingdistributionofthesamplemeanapproachesa_____

distribution.

a.

Binomial

b.

Poisson

c.

Normal

d.

Chi-square

ANSWER:

c

23.

Wheneverthepopulationhasanormalprobabilitydistribution,thesamplingdistributionofisanormalprobabilitydistributionfor

a.

largesamplesizes.

b.

smallsamplesizes.

c.

anysamplesize.

d.

samplesofsizethirtyorgreater.

ANSWER:

c

24.

Thesamplingerroristhe

a.

sameasthestandarderrorofthemean.

b.

differencebetweenthevalueofthesamplemeanandthevalueofthepopulationmean.

c.

errorcausedbyselectingabadsample.

d.

standarddeviationmultipliedbythesamplesize.

ANSWER:

b

25.

Thestandarddeviationofasampleof100elementstakenfromaverylargepopulationisdeterminedtobe60.Thevarianceofthepopulation

a.

cannotbelargerthan60.

b.

cannotbelargerthan3600.

c.

mustbeatleast100.

d.

canbeanyvaluegreaterorequaltozero.

ANSWER:

d

26.

Fromapopulationof200elements,asampleof49elementsisselected.Itisdeterminedthatthesamplemeanis56andthesamplestandarddeviationis14.Thestandarderrorofthemeanis

a.

3.

b.

2.

c.

greaterthan2.

d.

lessthan2.

ANSWER:

d

27.

Theprobabilitydistributionofallpossiblevaluesofthesamplemean

is

a.

theprobabilitydensityfunctionof.

b.

thesamplingdistributionof.

c.

thegrandmean,sinceitconsidersallpossiblevaluesofthesamplemean.

d.

one,sinceitconsidersallpossiblevaluesofthesamplemean.

ANSWER:

b

28.

Whichofthefollowingsamplingmethodsdoesnotleadtoprobabilitysamples?

a.

Stratifiedsampling

b.

Clustersampling

c.

Systematicsampling

d.

Conveniencesampling

ANSWER:

d

29.

Whichofthefollowingis(are)pointestimator(s)?

a.

σ

b.

μ

c.

s

d.

α

ANSWER:

c

30.

Aprobabilitydistribution

ofallpossiblevaluesofasamplestatisticisknownas

a.

asamplestatistic.

b.

aparameter.

c.

simplerandomsampling.

d.

asamplingdistribution.

ANSWER:

d

31.

Apopulationhasameanof300andastandarddeviationof12.Asampleof64observationswillbetaken.Theprobabilitythatthesamplemeanwillbebetween295to305is

a.

0.0009.

b.

0.9991.

c.

0.3231.

d.

0.6769.

ANSWER:

b

32.

Thestandarddeviationofapointestimatoriscalledthe

a.

standarddeviation.

b.

standarderror.

c.

pointestimator.

d.

varianceofestimation.

ANSWER:

b

33.

Asinglenumericalvalueusedasanestimateofapopulationparameterisknownasa

a.

parameter.

b.

populationparameter.

c.

meanestimator.

d.

pointestimate.

ANSWER:

d

34.

Thesamplestatistic,suchas,s,or,thatprovidesthepointestimateofthepopulationparameterisknownasa

a.

pointestimator.

b.

parameter.

c.

populationparameter.

d.

populationstatistic.

ANSWER:

a

35.

Thepurposeofstatisticalinferenceistoprovideinformationaboutthe

a.

samplebaseduponinformationcontainedinthepopulation.

b.

populationbaseduponinformationcontainedinthesample.

c.

populationbaseduponinformationcontainedinthepopulation.

d.

meanofthesamplebaseduponthemeanofthepopulation.

ANSWER:

b

36.

Asimplerandomsampleof36observationswastakenfromalargepopulation.Thesamplemeanandthestandarddeviationweredeterminedtobe360and120respectively.Thestandarderrorofthemeanis

a.

3.33.

b.

3.

c.

10.

d.

20.

ANSWER:

d

37.

Randomsamplesofsize64aretakenfromaninfinitepopulationwhosemeanandstandarddeviationare240and16,respectively.Thedistributionofthepopulationisunknown.Themeanandthestandarderrorofthemeanare

a.

240and16.

b.

64and16.

c.

8and2.

d.

240and2.

ANSWER:

d

38.

Apopulationhasameanof60andastandarddeviationof18.Asampleof81observationswillbetaken.Theprobabilitythatthesamplemeanwillbelargerthan64is

a.

0.5228.

b.

0.9772.

c.

0.4772.

d.

0.0228.

ANSWER:

d

39.

Apopulationhasameanof180andastandarddeviationof36.Asampleof84observationswillbetaken.Theprobabilitythatthesamplemeanwillbebetween181and185is

a.

0.2980.

b.

0.7020.

c.

0.2989.

d.

0.7011.

ANSWER:

a

40.

Randomsamplesofsize600aretakenfromaninfinitepopulationwhosepopulationproportionis0.4.Thestandarddeviationofthesampleproportions(i.e.,thestandarderroroftheproportion)is

a.

0.0004.

b.

0.2400.

c.

0.4000.

d.

0.0200.

ANSWER:

d

41.

Asampleof400observationswillbetakenfromaninfinitepopulation.Thepopulationproportionequals0.8.Theprobabilitythatthesampleproportionwillbegreaterthan0.75is

a.

0.8764.

b.

0.1236.

c.

0.9938.

d.

0.0062.

ANSWER:

c

42.

Fromapopulationof500elements,asampleof225elementsisselected.Itisknownthatthevarianceofthepopulationis900.Thestandarderrorofthemeanisapproximately

a.

1.1022.

b.

2.

c.

30.

d.

1.4847.

ANSWER:

d

43.

AsimplerandomsampleofsizenfromaninfinitepopulationofsizeNistobeselected.Eachpossiblesampleshouldhave_____

ofbeingselected.

a.

thesameprobability

b.

aprobabilityof1/n

c.

aprobabilityof1/N

d.

aprobabilityofN/n

ANSWER:

a

44.

Arandomsampleof525peoplewastakenfromaverylargepopulation.225ofthepeopleinthesamplewerefemale.Thestandarderroroftheproportionis

a.

0.9783.

b.

0.0217.

c.

0.9668.

d.

0.0332.

ANSWER:

b

45.

Forapopulationwithanydistribution,theformofthesamplingdistributionofthesamplemeanis

a.

sometimesnormalforallsamplesizes.

b.

sometimesnormalforlargesamplesizes.

c.

alwaysnormalforallsamplesizes.

d.

alwaysnormalforlargesamplesizes.

ANSWER:

d

46.

Thereare7childreninafamily.Thenumberofchildrendefinesapopulation.Thenumberofsimplerandomsamplesofsize2(withoutreplacement)whicharepossibleequals

a.

14.

b.

21.

c.

5.

d.

42.

ANSWER:

b

47.

Asimplerandomsampleof5observationsfromapopulationcontaining400elementswastaken,andthefollowingvalueswereobtained.

15

19

21

24

31

Apointestimateofthemeanis

a.

4.

b.

22.

c.

21.

d.

110.

ANSWER:

b

48.

Randomsamplesofsize49aretakenfromapopulationthathas200elements,ameanof180,andavarianceof196.Thedistributionofthepopulationisunknown.Thestandarderrorofthemeanis

a.

24.39.

b.

28.

c.

2.

d.

1.74.

ANSWER:

d

49.

Randomsamplesofsize64aretakenfromaninfinitepopulationwhosemeanandstandarddeviationare24and6.4,respectively.Thedistributionofthepopulationisunknown.Themeanandthestandarderrorofthemeanare

a.

64and6.4.

b.

64and0.8.

c.

24and6.4.

d.

24and0.8.

ANSWER:

d

50.

Asampleof24observationsistakenfromapopulationthathas150elements.Thesamplingdistributionof

is

a.

approximatelynormalbecause

isalwaysapproximatelynormallydistributed.

b.

approximatelynormalbecausethesamplesizeislargeincomparisontothepopulationsize.

c.

approximatelynormalbecauseofthecentrallimittheorem.

d.

normalifthepopulationisnormallydistributed.

ANSWER:

d

51.

Asampleof92observationsistakenfromaninfinitepopulation.Thesamplingdistributionof

isapproximately

a.

normalbecause

isalwaysapproximatelynormallydistributed.

b.

normalbecausethesamplesizeissmallincomparisontothepopulationsize.

c.

normalbecauseofthecentrallimittheorem.

d.

noneofthesealternativesiscorrect.

ANSWER:

c

52.

Apopulationhasameanof125andastandarddeviationof16.Asampleof64observationswillbetaken.Theprobabilitythatthesamplemeanwillbebetween122.4and126.1is

a.

0.1821.

b.

0.0919.

c.

0.6120.

d.

0.3880.

ANSWER:

c

53.

Apopulationhasameanof400andastandarddeviationof25.Asampleof100observationswillbetaken.Theprobabilitythatthesamplemeanwillbegreaterthan405is

a.

.9772.

b.

.0228.

c.

.4207.

d.

.3805.

ANSWER:

b

54.

Randomsamplesofsize400aretakenfromaninfinitepopulationwhosepopulationproportionis0.2.Themeanandstandarddeviationofthesampleproportionare

a.

0.2and.04.

b.

0.2and0.02.

c.

20and.04.

d.

20and0.02.

ANSWER:

b

55.

Apopulationofsize1,000hasaproportionof0.5.Therefore,theproportionandthestandarddeviationofthesampleproportionforsamplesofsize100are

a.

500and0.047.

b.

500and0.050.

c.

0.5and0.047.

d.

0.5and0.050.

ANSWER:

c

56.

Asampleof25observationsistakenfromaninfinitepopulation.Thesamplingdistributionof

is

a.

notnormalsincen<30.

b.

approximatelynormalbecause

isalwaysnormallydistributed.

c.

approximatelynormalifnp5andn(1-P)5.

d.

approximatelynormalifnp>30andn(1-P)>30.

ANSWER:

c

57.

Asampleof66observationswillbetakenfromaninfinitepopulation.Thepopulationproportionequals0.12.Theprobabilitythatthesampleproportionwillbelessthan0.1969is

a.

0.0955.

b.

0.9045.

c.

0.0273.

d.

0.9727.

ANSWER:

d

58.

AsAsampleof51observationswillbetakenfromaninfinitepopulation.Thepopulationproportionequals0.85.Theprobabilitythatthesampleproportionwillbebetween0.8327and0.8631is

a.

0.9998.

b.

0.0002.

c.

0.2387.

d.

0.7613.

ANSWER:

c

59.

Asubsetofapopulationselectedtorepresentthepopulationisa

a.

subset.

b.

sample.

c.

smallpopulation.

d.

parameter.

ANSWER:

b

60.

Afinitepopulationcorrectionfactorisneededincomputingthestandarddeviationofthesamplingdistributionofsamplemeans

a.

wheneverthepopulationisinfinite.

b.

wheneverthesamplesizeismorethan5%ofthepopulationsize.

c.

wheneverthesamplesizeislessthan5%ofthepopulationsize.

d.

irrespectiveofthesizeofthesample.

ANSWER:

b

61.

Doublingthesizeofthesamplewill

a.

reducethestandarderrorofthemeantoone-halfitscurrentvalue.

b.

reducethestandarderrorofthemeantoapproximately70%ofitscurrentvalue.

c.

havenoeffectonthestandarderrorofthemean.

d.

doublethestandarderrorofthemean.

ANSWER:

b

62.

Thefactthatthesamplingdistributionofsamplemeanscanbeapproximatedbyanormalprobabilitydistributionwheneverthesamplesizeislargeisbasedonthe

a.

centrallimittheorem.

b.

factthatwehavetablesofareasforthenormaldistribution.

c.

assumptionthatthepopulationhasanormaldistribution.

d.

noneofthesealternativesiscorrect.

ANSWER:

a

63.

Asthesamplesizeincreases,thevariabilityamongthesamplemeans

a.

increases.

b.

decreases.

c.

remainsthesame.

d.

dependsuponthespecificpopulationbeingsampled.

ANSWER:

b

64.

Asaruleofthumb,thesamplingdistributionofthesampleproportionscanbeapproximatedbyanormalprobabilitydistributionwhenever

a.

np≥5,n≥30.

b.

np≥5andn(1-p)≥5.

c.

n30and(1-p)=0.5.

d.

noneofthesealternativesiscorrect.

ANSWER:

b

65.

Randomsamplesofsize17aretakenfromapopulationthathas200elements,ameanof36,andastandarddeviationof8.Themeanandthestandarddeviationofthesamplingdistributionofthesamplemeansare

a.

8.7and1.94.

b.

36and1.94.

c.

36and1.86.

d.

36and8.

ANSWER:

c

66.

Randomsamplesofsize17aretakenfromapopulationthathas200elements,ameanof36,andastandarddeviationof8.Whichofthefollowingbestdescribestheformofthesamplingdistributionofthesamplemeanforthissituation?

a.

Approximatelynormalbecausethesamplesizeissmallrelativetothepopulationsize

b.

Approximatelynormalbecauseofthecentrallimittheorem

c.

Exactlynormal

d.

Noneofthesealternativesiscorrect.

ANSWER:

d

67.

Thesamplingdistributionofthesamplemeans

a.

istheprobabilitydistributionshowingallpossiblevaluesofthesamplemean.

b.

isusedasapointestimatorofthepopulationmeanμ.

c.

isanunbiasedestimator.

d.

showsthedistributionofallpossiblevaluesofμ.

ANSWER:

a

68.

Clustersamplingis

a.

anonprobabilitysamplingmethod.

b.

thesameasconveniencesampling.

c.

aprobabilitysamplingmethod.

d.

asystematicsamplingmethod.

ANSWER:

c

69.

Thenumberofdifferentsimplerandomsamplesofsize5thatcanbeselectedfromapopulationofsize10is

a.

50

b.

30,240

c.

2

d.

252

ANSWER:

d

70.

Thefollowingdatawascollectedfromasimplerandomsampleofapopulation.

13

17

18

21

23

Thepointestimateofthepopulationmean

a.

cannotbedetermined,sincethepopulationsizeisunknown.

b.

is18.4.

c.

is18.

d.

is92.

ANSWER:

b

71.

Thefollowingdatawascollectedfromasimplerandomsampleofapopulation.

13

17

18

21

23

Thepointestimateofthepopulationstandarddeviationis

a.

3.441.

b.

3.847.

c.

14.8.

d.

11.84.

ANSWER:

a

72.

Thefollowingdatawascollectedfromasimplerandomsampleofapopulation.

13

15

14

16

12

Ifthepopulationconsistedof10elements,howmanydifferentrandomsamplesofsize6couldbedrawnfromthepopulation?

a.

2

b.

50

c.

252

d.

30,240

ANSWER:

c

73.

Thefollowingdatawascollectedfromasimplerandomsampleofapopulation.

13

15

14

16

12

Themeanofthepopulation

a.

is14.

b.

is15.

c.

is15.1581.

d.

couldbeanyvalue.

ANSWER:

d

74.

Fourhundredpeoplewereaskedwhethergunlawsshouldbemorestringent.Threehundredsaid"yes,"and100said"no".Thepointestimateoftheproportioninthepopulationwhowillrespond"yes"is

a.

300.

b.

approximately300.

c.

0.75.

d.

0.25.

ANSWER:

c

75.

Fourhundredpeoplewereaskedwhethergunlawsshouldbemorestringent.Threehundredsaid"yes,"and100said"no".Thepointestimateoftheproportioninthepopulationwhowillrespond"no"is

a.

75.

b.

0.25.

c.

0.75.

d.

0.50.

ANSWER:

b

76.

Thefollowinginformationwascollectedfromasimplerandomsampleofapopulation.

9

13

15

15

21

24

Thepointestimateofthemeanofthepopulationis

a.

14.5.

b.

15.

c.

6.

d.

16.

ANSWER:

a

77.

Thefollowinginformationwascollectedfromasimplerandomsampleofapopulation.

9

13

15

15

21

24

Thepointestimateofthepopulationstandarddeviationis

a.

7.018.

b.

59.1.

c.

7.688.

d.

49.25.

ANSWER:

c

78.

Howmanydifferentsamplesofsize4canbetakenfromafinitepopulationofsize12?

a.

48

b.

11,880

c.

3

d.

495

ANSWER:

d

79.

Arandomsampleof144bottlesofcologneshowedanaveragecontentof4ounces.Itisknownthatthestandarddeviationofthecontents(i.e.,ofthepopulation)is0.3ounces.Thestandarderrorofthemeanequals

a.

0.3333.

b.

0.15.

c.

0.025.

d.

4.000.

ANSWER:

c

80.

Arandomsampleof144bottlesofcologneshowedanaveragecontentof4ounces.Itisknownthatthestandarddeviationofthecontents(i.e.,ofthepopulation)is0.3ounces.

Thepointestimateofthemeancontentofthebottlesis

a.

0.3.

b.

4.

c.

144.

d.

2.

ANSWER:

b

81.

Arandomsampleof144bottlesofcologneshowedanaveragecontentof4ounces.Itisknownthatthestandarddeviationofthecontents(i.e.,ofthepopulation)is0.3ounces.Inthisproblemthe0.3is

a.

aparameter.

b.

astatistic.

c.

thestandarderrorofthemean.

d.

theaveragecontentofcolognesinthelongrun.

ANSWER:

a

82.

Inalocaluniversity,70%ofthestudentsliveinthedormitories.Arandomsampleof75studentsisselectedforaparticularstudy.Thestandarddeviationof,knownasthestandarderroroftheproportionisapproximately

a.

0.5292.

b.

5.2915.

c.

0.0529.

d.

52.915.

ANSWER:

c

83.

Inalocaluniversity,70%ofthestudentsliveinthedormitories.Arandomsampleof75studentsisselectedforaparticularstudy.

Theprobabilitythatthesampleproportion(theproportionlivinginthedormitories)isbetween0.69and0.72is

a.

0.7778.

b.

0.2222.

c.

0.2347.

d.

0.7653.

ANSWER:

b

84.

Inalocaluniversity,70%ofthestudentsliveinthedormitories.Arandomsampleof75studentsisselectedforaparticularstudy.

Theprobabilitythatthesampleproportion(theproportionlivinginthedormitories)isatleast0.60is

a.

0.0294.

b.

0.9706.

c.

0.0228.

d.

0.9772.

ANSWER:

b

85.

Theexpectedvalueofequalsthemeanofthepopulationfromwhichthesampleisdrawn?

a.

?onlyifthesamplesizeis30orgreater.

b.

?onlyifthesamplesizeis50orgreater.

c.

?onlyifthesamplesizeis100orgreater.

d.

?foranysamplesize.

ANSWER:

d

86.

Thestandarddeviationof

isreferredtoasthe_____proportion.

a.

standard

b.

samplemean

c.

deviated

d.

standarderrorofthe

ANSWER:

d

87.

Thevalueofthe_____isusedtoestimatethevalueofthepopulationparameter

a.

populationstatistic

b.

sampleparameter

c.

populationestimate

d.

samplestatistic

ANSWER:

d

88.

Thestandarddeviationofisreferredtoasthe?

a.

?standardmeanofx.

b.

?standarderrorofthemean.

c.

?samplestandardmean.

d.

?samplemeandeviation.

ANSWER:

b

89.

Thepopulationbeingstudiedisusuallyconsidered_____ifitinvolvesanongoingprocessthatmakeslistingorcountingeveryelementinthepopulationimpossible.

a.

finite

b.

infinite

c.

skewed

d.

symmetric

ANSWER:

b

90.

Aprobabilitysamplingmethodinwhichwerandomlyselectoneofthefirstkelementsandthenselecteverykthelementthereafteris_____

sampling.

a.

stratifiedrandom

b.

cluster

c.

systematic

d.

convenience

ANSWER:

c

91.

AsimplerandomsampleofsizenfromafinitepopulationofsizeNisasampleselectedsuchthateachpossiblesampleofsize_____

ofbeingselected.

a.

Nhasthesameprobability

b.

nhasaprobabilityof0.5

c.

nhasaprobabilityof0.1

d.

nhasthesameprobability

ANSWER:

d

92.

Thepopulationwewanttomakeinferencesaboutisth?e

a.

?sampledpopulation.

b.

?frame.

c.

?targetpopulation.

d.

?finitepopulation.

ANSWER:

c

93.

Whenthepopulationhasanormaldistribution,thesamplingdistributionof

isnormallydistributedforanysample

a.

size.

b.

sizeof30ormore.

c.

sizeof50ormore.

d.

fromafinitepopulation.

ANSWER:

a

94.

Thestandarderroroftheproportionwillbecomelargeras?

a.

?nincreases.

b.

?papproaches0.

c.

?papproaches.5.

d.

?papproaches1.

ANSWER:

c

95.

Allofthefollowingaretrueaboutthestandarderrorofthemeanexcept?

a.

?itislargerthanthestandarddeviationofthepopulation.

b.

?itdecreasesasthesamplesizeincreases.

c.

?itsvalueisinfluencedbythestandarddeviationofthepopulation.

d.

?itmeasuresthevariabilityinsamplemeans.

ANSWER:

a

96.

Theextentofthesamplingerrormightbeaffectedbyallofthefollowingfactorsexceptthe

a.

variabilityofthepopulation.

b.

expectedvalueofthesamplestatistic

c.

samplesize.

d.

samplingmethodused.

ANSWER:

b

97.

Thedesiredsituationiswhen

thesampledpopulationis_____

thetargetedpopulation.

a.

identicalto

b.

largerthan

c.

smallerthan

d.

morevariedthan

ANSWER:

a

98.

Itisimpossibletoconstructaframefora(n)_____

population.

a.

finite

b.

infinite

c.

target

d.

defined

ANSWER:

b

99.

Whichofthefollowingstatementsaboutclustersamplingisfalse??

a.

?Allelementswithintherandomlyselectedclustersformthesample

b.

?Itgenerallyrequiresasmallertotalsamplesizethansimplerandomsampling

c.

?Ideally,eachclusterisarepresentativesmall-scaleversionoftheentirepopulation

d.

?Itprovidesthebestresultswhentheelementswithintheclustersarenotalike

ANSWER:

b

100.

Instratifiedrandomsampling,?

a.

?randomlyselectedelementswithineachofthestrataformthesample.

b.

?allelementswithintherandomlyselectedstrataformthesample.

c.

?randomlyselectedelementswithintherandomlyselectedstrataformthesample.

d.

?allelementswithineachofthestrataformthesample.

ANSWER:

a

101.

Thebasisforusinganormalprobabilitydistributiontoapproximatethesamplingdistributionof

is?

a.

?Chebyshev’stheorem.

b.

?Theempiricalrule.

c.

?Thecentrallimittheorem.

d.

?Bayes'theorem.

ANSWER:

c

102.

Theabsolutevalueofthedifferencebetweenthepointestimateandthepopulationparameteritestimatesisthe_____

error.

a.

standard

b.

sampling

c.

efficient

d.

finite

ANSWER:

b

103.

Whichofthefollowingbestdescribestheformofthesamplingdistributionofthesampleproportion?

a.

Whenstandardized,itisexactlythestandardnormaldistribution.

b.

Whenstandardized,itisthetdistribution.

c.

Itisapproximatelynormalaslongasn30.

d.

Itisapproximatelynormalaslongasnp5andn(

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