统计学期末考试试卷-英文版

PAGE7PAGE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.expandstotimesoftheoriginalB.expandstotimesoftheoriginalC.expandstotimesoftheoriginalD.expandstotimesoftheoriginal3.Intheregressionmodel，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.=1.5x＋4B.=1.5x+5C.=1.5x+2D.=2x+1.56.Comparestratifiedsamplingandothersamplingmethods,whenthesamplesizeisequal,thesamplingerrorofstratifiedis()A.largerB.smallerC.beequalD.reverse7.Supposeyouaredoinganintervalestimateofapopulationrate,thedataofpopulationisunknown;thevarianceoftheratehasnodata,andcan’tcalculatebythesample.Now,thevarianceshouldbevaluedby()A.50%B.35%C.30%D.25%8.Whichregressionequationisconfirmwrong()?A.r=0.88B.r=0.55C.r=0.90D.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.()8.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.Theweightsofthemareshownasfollows:(20’)Weightperpackage（g）bags95～1003100～1054105～11034110～1157115～1202total=SUM(ABOVE)50Andweknowthefoodpackageisobeyingnormaldistribution.(1)Providea95%confidenceintervalforthemeanweightofthefood.(2)Testwhetherthisfoodconfirmtothestandardrequireadoptthehypothesistesting?(writedownthestepsofthetest)(а=0.05)(3)Whatwillhappentothesamplesizeifsamplingaverageerrordecreases50%?Ⅴ、CASEPROBLEMHowtomeasuredevelopment?Theinternationalevaluationofanationalorregionallevelofdevelopmentandpeople'slivingstandardiscalled"humandevelopmentindex",inEnglish,"Humandevelopmentindex”.Humandevelopmentindexisameasureoftheoverallachievements,whichconsistsofthreeindicatorsofcomposition,oranaveragelifeexpectancy,adultliteracyrateandpercapitaGDP.ThefollowingtableshowssomerelatedindicatorsofAsiancountriesin2007.（25′）No.NationalTheaveragelifeexpectancy（Y/Year）PercapitaGDP（100U.S.dollars）X1Adultliteracyrate(%)X21Japan79194992China7029803SouthKorea7083974Singapore74147925India6012506Thailand6953947Malaysia7074808Philippines6524909V