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财经大学试卷试卷代码:C课程学时:48课程名称:统计学适用对象:Ⅰ、SINGLECHOICE(1′×5=5′)1.Therearethreeblockproducts,thepercentofwastesjustas1.5%、2%、1%,therespectivequantitiesofwastesare25、30and45pieces.Thenwhatistheaveragerateofwaste.()ABCD2.Theretailsalesofacompanyhasincreased6%comparedwithlastyear,theaverageincreaseinpriceofeachproductis11%,thenhowmuchthequantitysoldincreasedordecreased()A.-3%B.-4.5%C.4.7%D.17.7%3.Alltheotherconditionsholdconstant.Therelationthatbetweendesiredmarginoferror(E)andtheconfidenceindicates()is()A.thewiderrangeofdesiredmarginoferror,thelowerconfidenceindicatesB.thelowerprobability,thehighercredibilityC.thehigherprobability,thehigherprecision,D.thelowerprobability,thelowercredibility4.Putthegoldreservesofourcountryintemporalorderbytheendofeachyearintherecent10years,theseriesis().A.dynamicseriesB.averageseriesC.timeseriesD.pointseries5.InaseriesofClassintervalclassification,iffrequencyoftheformergroupofmodegroupisequaltothelater′s,themodeis?()AtheinferiorlimitofthemodegroupBtheinferiorlimitofthemodegroupandonefourthofthewidthoftheclassesCtheinferiorlimitofthemodegroupandthreefourthsofthewidthoftheclassesDtheclassmid-valueofthemodegroupⅡJUDGE(Write“T”fortrueand“F”forfalse.1′×5=5′)1.ThedistributionofpopulationbyageisaJ–shapeddistribution()2.Samplingwithreplacementandsamplingwithoutreplacementofthesizeofsamplesmaybedifferent,butthesamplingerroristhesame()3.Fromlinearfunctionyc=—450+2.5x,wecangetthattherelationshipbetweenvariesxandyispositive()4.In2005,thesameamountofRMBinacitycanonlybuy94%ofgoodscomparedwith2004,thenthepriceincreasedby6%()5.Correlationanalysisisacausalrelationshipanalysis()Ⅲ、SIMPLEANSWER(5′×2=10′)1.BrieflyanswertherelationsamongCorrelationcoefficient﹑coefficientofregressionanddiscriminatecoefficient,formulait2、Howtodescribethequantitativecharacteristicsofthepopulation?Pleasegivealistofrecapitulativeindicatorswhichcandescribethecharacteristicsofthepopulation.Ⅳ、CALCULATION(Total:60′)1.AMSG(味精)plantthatrequireseachbagofMSGweightnolessthan100gramsexamine1%ofitsproducts.Theresultisshownasfollows:(demandingtheresultsreservedtwodecimalplaces)(1)Developa95.45%confidenceintervalestimateofthemeanweightoftheseMSGinthesamplingwithreplacementconditions:Anddeterminewhethertheweightfittothespecificationsweight.(10′)(2)Trytoinfertherangeofrateofqualifiedproductsina95.45%levelofconfidenceintheconditionofsamplingwithreplacement.(8′)(3)Inthesamecondition,howmanysamplesareneededifthelevelofconfidenceisincreasesto99.73%?(7′)theweightofabag(gram)100andunder101-102102-104104-106106andovertotalquantity(bag)513621731002.In1982,thepopulationofChinais10.1billion,whichisamountto13billionin2004.WhatistheaverageincreaserateofChina'spopulationinthisperiod?Whatisthepopulationin2006accordingtothesamerate?(10′)3ThedataofthreeproductsproducedinHongXingMachineryPlantaregivenasfollows:ThenameofproductUnitcost(¥1000)quantity2004200520042005A(piece)56400500B(case)810500600C(kg)1215150200Requirementsare:1.Analyzethechangeofthegrosscostofthethreeproductsusingindexsystem.2.Known,HongXingMachineryPlanthasrealprofit3600000Yuanin2005;trytocalculatetheprofitrateofcost,iftheplanedprofitrateofcostrequirestoberaisedto40%,howaboutthecompletionoftheprofitrateofcost?ⅴ、CASEPROBLEM(20′)Istheeducationalachievementlevelofstudentsrelatedtothespendingofperpupil?InmanycommunitiesthisimportantquestionisbeingaskedbytaxpayerswhoarebeingaskedbytheirschooldistrictstoincreasetheamountoftaxrevenuespendoneducationTheproblemiswhetherincreasingspendoneducationwouldimprovethequalityofteachingandimprovestudent′sachievement?Thedataaboutthespendingperpupilandstudents’Comprehensiveachievementofthecountry’s10regions’collectedbyFederalNationalEducationAssessmentProjectisshownasfollows:stateSpendingperpupil($1000s)CompositescoresLuyiannuo4591Florida3582Delaware5580NewYork6600Texas4550NorthCarolina4550Washington5611RhodeIsland5610Minnesota4570George4540Questionsare:IDescribethepopulation′scharacteristicsofthestudents′achievementindescriptivestatisticaldata.2.Useregressionanalysistoinvestigatetherelationshipbetweenthespendingperpupilandstudents′comprehensiveachievement.3.Doyouthinkthattheestimatedregressionequationde
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