0910国际学院试卷

1江西财经大学2009－2010第一学期期末考试试卷试卷代码：12083A授课课时：48课程名称：统计学适用对象：挂牌试卷命题人魏和清试卷审核人Ⅰ、SINGLECHOICE(1′×10＝10′)1.Afterthepricereduces,similarlyRMBmaybuycommodity15%morethanbefore,asksthepriceindex()A.100%B.115%C.-13.04%D.86.96%。2.Insamplingwithreplacement,whatwillhappentothesamplesizeifsamplingaverageerrordecreases25%?()A.expandsto2)%251(timesoftheoriginalB.expandsto2%)25(timesoftheoriginalC.expandsto2%)75(timesoftheoriginalD.expandsto2)%751(timesoftheoriginal3.Intheregressionmodelxy10，reflects()A.thelinearchangeofycausedbythechangeofxB.thelinearchangeofxcausedbythechangeofyC.theeffectofrandomfactorstoyexceptthelinearrelationofxandyD.theeffectofthelinearrelationofxandy4.Simplesamplingn=50randomlyfromapopulationwhichthemeanis200,thestandarddeviationis10,theexpectationandvarianceofthesample’smeanare()A.200and0.2B.200and2C.20and1.4D.20and25.Theestimatevalueoftheslopeoftheregressionlineis1.5,andthecenterofthesamplesis(4,8),theequationoftheregressionlineis()A.Yˆ=1.5x＋4B.Yˆ=1.5x+5C.Yˆ=1.5x+2D.Yˆ=2x+1.56.Comparestratifiedsamplingandothersamplingmethods,whenthesamplesizeisequal,thesamplingerrorofstratifiedis()A.largerB.smaller2C.beequalD.reverse7.Supposeyouaredoinganintervalestimateofapopulationrate,thedataofpopulationisunknown;thevarianceoftheratehasnodata,andcan’tcalculatebythesample.Now,thevarianceshouldbevaluedby()A.50%B.35%C.30%D.25%8.Whichregressionequationisconfirmwrong()?A.xy32ˆr=0.88B.xy54ˆr=0.55C.xy510ˆr=0.90D.xy90.0100ˆr=0.839.Theconsumepriceindexreflects()A.thechangingtendencyandlevelofthecommodityretailpriceB.thechangingtendencyandlevelofthepriceofinhabitantpurchasetheconsumegoodsC.thechangingtendencyandlevelofthepriceinhabitantpurchaseserviceitemD.thechangingtendencyandlevelofthepriceinhabitantpurchasetheconsumegoodsandserviceitem10.Comparewiththebaseyear,costofproductionhasincreased50%untilreportingyear,Productionincreasedby25%,whileunitcostsincreasedby()A.25％B.2％C.75％D.20％Ⅱ、JUDGE(Write“T”fortrueand“F”forfalse.1′×10＝10′)1.TheformulaofLaspeyresindexweightforeachitemisitsreportingyearquantity.()2.Marginoferrorisgenerallylargerthanthestandarderrorofthesamplingstatistics.()3.CorrelativecoefficientiszeroimpliesthatthereisnoCorrelationrelationshipbetweenvariables.()4.Coefficientofdeterminationisthesquareofthecorrelationcoefficient.()5.Variablestructureindexonlyreflectstheaffectionofstructuralchangesineachgrouponthetotalaverage.()6.MeanValueIndexisaweightedmeanofindividualindexes.()7.Systemsamplingiscalledtheclustersampling.()38.Intervalestimationisanestimateabsoluterangeofapopulationparameter.()9.Indexandrelativenumberaretwodifferentnotions;weshouldnotthinkthattheyareequaltoeachother.()10.LevelofsignificanceistheprobabilityofmakingaTypeⅡerror.()Ⅲ、SIMPLEANSWER（5′×2=10′）1.ClustersamplingisusedtoSamplingwithoutreplacementtoselectsamples,Why?2.Whatarethecommonlyusedpriceindexes?Trytomakeabriefdescriptionoftheirrespectiveroles.Ⅳ、CALCULATION（15′×3=45′）Therearethreekindsofproductionvalueandpricechangesofafactorywhichareasfollows:ProductNameTotaloutputvalue(million)）TheProducerpriceofthereportingperiodincreasedmorethanthebaseperiod（%）baseperiodreportingperiodABC14502200350016802760378012155Questionsare：（1）CalculatetheProducerpriceindexandincreasedtotalProductionValueduetopricechanges；（2）CalculateTotalProductionValueindexandproductoutputindex；（3）Viewedfrombothrelativeandabsolute,TrytomakeabriefanalysisofthechangeoftotaloutputvalueduetotInfluencingfactors(outputandproducerprice).(15’)2.Threekindsofindustrialstockspriceandcirculationareasfollows:StockNamePrice（Yuan）Circulation（millionshares）PreviousClosingpriceTodayclosingpriceABC6.4212.3614.556.0212.5015.601200035002000Trytocalculatethestockpriceindex,andmakeabriefanalysisofthechangeofStockPriceIndex.（10’）。3.Akindoffoodusedautomaticpackage,thestandardweightisthateachbagofitweight100grams,wesample50bagsrandomlyusereplacementsamplingmethod.4Theweightsofthemareshownasfollows:(20’)Weightperpackage（g）bags95～1003100～1054105～11034110～1157115～1202total50Andweknowthefoodpackageisobeyingnormaldistribution.(1)Providea95%confidenceintervalforthemeanweightofthefood.(2)Testwhetherthisfoodconfirmtothestandardrequireadoptthehypothesistesting?(writedownthestepsofthetest)(а=0.05)(3)Whatwillhappentothesamplesizeifsamplingaverageerrordecreases50%?Ⅴ、CASEPROBLEMHowtomeasuredevelopment?Theinternationalevaluationofanationalorregionallevelofdevelopmentandpeople'slivingstandardiscalledhumandevelopmentindex,inEnglish,Humandevelopmentindex”.Humandevelopmentindexisameasureoftheoverallachievements,whichconsistsofthreeindicatorsofcomposition,oranaveragelifeexpectancy,adultliteracyrateandpercapitaGDP.ThefollowingtableshowssomerelatedindicatorsofAsiancountriesin2007.（25′）No.NationalTheaveragelifeexpectancy（Y/Year）PercapitaGDP（100U.S.dollars）X1Adultliteracyrate(%)X21Japan79194992China7029803SouthKorea7083974Singapore74147925India6012506Thailand6953947Malaysia7074808Philippines6524909Vietnam63138910Afghanistan43732Questionsare:(1)Viewfromthepointofcorrelationanalysis,inthetwoindicator,percapitaGDP