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PAGE4PAGE1財經(jīng)大學試卷試卷代碼:06003B課程學時:48課程名稱:統(tǒng)計學適用對象:Ⅰ、SINGLECHOICE(1′×5=5′)1.Whichofthefollowingisqualityindex?(
)
A.Grosscostofliving
indexB.indexofstaffpopulationC.indexofconsumerlevelofeachperson
D.
quantitysoldindex
2.Whatrelationcanweillustratefromthesituationthatanapproximateconstantchangeinyisassociateswithaquantitativechangeinx.()A.PositivelinearcorrelationB.NegativelinearcorrelationC.
LinearcorrelationD.
Curvilinearcorrelation3.Dividingthesurveyobjectsintosomegroups,thensamplingrandomlyfromeachgroup,wecalledthismethod.()A.
equidistantsampling
B.
clustersampling
C.
stratifiedsampling
D.
purerandomsampling4.Whatistheyear′saverageincreasingratewhentheincreasingratesofrecentthreeyearswere7%、9%、11%?()A.
9%
B.
8.8493%
C.
8.9878%
D.
10%
5.Whichofthefollowingisstandarderroroftheproportionifthequalifiedrateoftheproductsis90%?()A.
10%
B.
90%
C.
9%
D.
30%
Ⅱ、JUDGE(Write“T”fortrueand“F”forfalse.1′×5=5′)1.Rangeisequaltowidthoftheclassesmultiplythenumberofclassesatanystatisticalclassification.()2.Marginoferrorisgenerallylargerthanthestandarderrorofthesamplingstatistics.()3.TheformulaofPaascheindexweightforeachitemisitsbase-periodquantity.()4.CorrelativecoefficientiszeroimpliesthatthereisnoCorrelationrelationshipbetweenvariables.()5.Whetheritisanalysisofcorrelationoranalysisofregression,wemustdetermineindependentvariableanddependentvariable.()Ⅲ、SIMPLEANSWER(5′×2=10′)1、Brieflydescribetherelationshipamongcoefficientofcorrelation、coefficientofregressionandcoefficientofdiscrimination,andexpressituseformula.2、BrieflydescribethecharacteristicsofLaspeyersindexandPaascheindex.Ⅳ、CALCULATION(Total:60′)Arandomsampleofsize440acresisselectedfromavillage’srice,theresultoftestisthatthemeanproductionis450Kgandsamplestandarddeviationis80kg.Requirementsare:①Calculatethesamplingstandarderrorofthemeanproduction②Estimatethemeanproductionofwholevillage′sriceata95.45%probability.③Ifweselectthesamplefromanothervillage,howlargeasampleshouldbeselectedtoprovidetheconfidenceindicates=2withamarginoferrornotexceeding10kg,assumethatthestandarderrorofperacreis80kg?(25′)2、Thedataofcars′productionofanautomobilemanufacturerinrecentyearsaregivenasfollows:Year200020012002200320042005Quantity100020004000500070009000Pleaseworkouttheparametersaandbaccordingtothesedata,writeoutthetrendequationbyusingtheleastsquaresmethod,andexplaintheeconomicmeaningofb.(15′)3、Thedataofthequantityandpriceinamanufactureraregivenasfollows:products′NamequantitypriceQ0Q1P0P1Ⅰ(tai)Ⅱ(ton)Ⅲ(piece)20050015025055018050010002006001100210Pleasetrytoanalyzethechangeinthegrossvalueofoutputfromtwoaspectsrelativenumberandabsolutenumberbyfactoranalysis.(20′)ⅴ、CASEPROBLEM(20′)Doesageaffectunemployment?EachmonththeU.S.BureauofLaborStatisticspublishesavarietyofunemploymentstatistic,includingthenumberofindividualswhoareunemployedandthemeanlengthoftimetheindividualshavebeenunemployed.ForNovember2005,theBureauofLaborStatisticsreportedthatthenationalmeanlengthoftimeofunemploymentwas14.6weeks.TheMayorofNewYorkhasrequestedastudyonthestatusofunemploymentinNewYorkarea.Asampleof50unemployedresidentsofNewYorkincludeddataontheageandthenumberofweekswithoutajob.AportionofthedatacollectedinNovember2005isshownasfollows:age(years)Weeksofunemployment(week)age(years)Weeksofunemployment(week)2525252626282832334040404546474851217410151215151418201825284848494949505050525354555556575813242525302535364040424545435052Questionsare:ⅰ.Describethepopulation′scharacteristicsoftheunemployedinNewYorkindescriptivestatisticaldata.ⅱ.Developa95%confidenceintervalestimateofthemeanageofunemployedindividualsinNewYork.ⅲ.ConductahypothesistesttodeterminethemeandurationofunemploymentinNewYorkis
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