可口可乐SPC培训考试

可口可乐SPC培训考试职务：单位：YoumaychoosetoapplyfortherecognitionofpassingtheexaminationofonlyPart1orbothPart1andPart2.Pleasehighlightyourchoiceforthefollowing:1.统计过程操纵(StatisticalprocessControl);2.统计假设检验(StatisticalHypothesisTests).试题Part1:统计过程操纵(StatisticalprocessControl)1.什么是过程能力分析(processcapabilitystudy)?什么是统计过程操纵(SPC)?它们之间有如何样的关系？WhichProcessesWouldYouChoose?Accurate,notPrecise准确，不精密AccurateandPreciseAccurate,notPrecise准确，不精密AccurateandPrecise准确精密Precise,notAccurate精密，_不准确a)一工厂用同样的过程能力分析数据(standarddeviationorstandarderrorofthemean)绘制的操纵图用于200mlRB和250mlRB产品的灌装净容量操纵，您认为一定能够吗？什么缘故？应该如何样做？b)统计过程操纵记录显示有少数样品组净容量略低于355mm,而均值符合标准.审核员判定为不符合项，对此，你有异议吗？请从统计过程操纵角度解释.什么缘故须用一对操纵图操纵一个过程(WhyShouldControlChartsBeUsedInpairs)?5.Mustacapableprocessbein-controlandanincapableprocessbenotin-control?有能力的过程受控，无能力的过程则不受控，对吗？Isitcapable?Doesitmeetthespec.?Doesitmeetthespec.?是否有能力？是否受控？Isitcapable?是否有能力?是否受控？Isitcapable?Doesitmeetthespec.?Doesitmeetthespec.?是否有能力？是否受控？Isitcapable?是否有能力?是否受控？TheplantQChasrandomlysampled1.25literemptyPETbottlesinitsincomingcheckofpackageweightforacertainpackagesupplierinordertotestthesupplier’scapabilityofdeliveringPETbottleswithinQC对一fd瓶供应南蛔蜥随机抽样瞬1其供货过程”的能力和获取统计过程控制所需的数据.Packageweightingrams:37.6538.0538.0037.5537.7538.0538.0537.4437.5538.0038.1037.6038.0537.5037.3537.5037.5538.1037.3537.4537.8537.9038.0537.0537.8038.0537.7537.8537.5537.606.IN-CLASSEXERCIXE2习题6.IN-CLASSEXERCIXE2习题2Specification: 38±0.5g瓶重皆隙设定着冏题吗？targetedtheWeight?供^应1p商的^“!供r货过程f噬力充n分吗吗?盹$withinspecificationcapable?7.假设PET瓶壁厚的规格是N0.3mm，过程要求是Cpk>1.0，你应如何设定统计（操纵）均值？8.实际过程能力指数为零或负值（Cpk<0）意味着什么?10.问题九：如何用用分组采样的方法提高均值变化的检出敏感度IncreaseSensitivityOfDetectionBySub-groupingTheplantiscurrentlytakeonesampleateachtimeintervalforitsRB250mlSpriteforcontrollingNetContent.ThestandarddeviationoftheprocessS=1.5ml,Cpk=1.0.某厂目前控制 RB250mlSprite 净含量的情况是按随机采样表每次取一个样.过程的标准偏差 S=1.5ml,Cpk=1.0.TheQCmanagerwantstobeabletodetectthemeanshiftofnetcontentat4mlsensibilitywithoutmisseddetectionbysub-groupingandusingX-barchartinsteadofXchart.Whatsub-groupsamplesizeQC经理希望用分组采样取均感度为4ml，且避免漏检率的影响。为此，应每次取几个样?痼的方法麟含量均值变化的检出敏提示:Sjn84WeekSalesWeekSales11500141975214501512753175016185041890171900514501818756176019160071890201350820002119759210022167510185023193011170024170012160025167513135026

该新手第一周的销量为1125箱。假设不存在特殊原因该新手第一周的销量为1125箱。假设不存在特殊原因(specialcause),你会对该新手的销售业绩作何评价？Part2:统计假设检验(StatisticalHypothesisTests)一一=1"CT2.1.4821.4326.40302.2.4S61.4854.4S682.3.4893.48964S982.4.4918.492D.4922三5.4S3S.4940.4^41问题一：mzmuejoDeiignjofiQiaiiiEQB^i.ControlTarget应用财值确定过程控制参数IfCpkofyour250mlRBprocesscanreachonly0.80.Supposethestandarddeviationofthefillingprocessis2.6mlandtheCompanyrequirementoftheProcessperformanceisCpk1.0,howdoyoudesignyourprocesscontrolinordertoensureyourprocessCpkvalueequivalentlyQ1.0?如何设计统计过程控制均值以使Cpk值为0・80,。=2.6ml的过程对净容量低限产品的控制获得等效于CpkQ1.0的结果(产品标示净容量为 250ml)?2问题二：Z一值是越大越好还是越小越好2.净含量控制过程。越小z2.净含量控制过程。越小z—值越大 xH例：某罐线。值不够小，达不 z— 到Cpk1.00（±3。） ^问题三:Amarketingmanagerbelievesthat70%ofconsumerschoosetobuy beveragesbetweenbrand"K”andbrand"P”onthebasisoftheirbrandloyaltyto“K”,only30%ofconsumerscaremoreforfreshness（productage）.Thedirectorarrangesasurveytotestthehypothesisbyrandomlyinvestigating300consumers.一销售经理估计有 70%消费者会基于其对 “K”品牌的忠诚度而不选择“P”饮料，祗有30%消费者会根据新鲜度（货令）做选择.为了检验这一估计的可靠性，市场总监安排了问卷调查.随机调查了 300消费者・Thefeedbacktothequestionnaireis:165basedonbrandpreference,135basedonfreshness:问卷调查返馈表明有 165消费者会基于忠诚度选择“K”饮料，135消费者会根据新鲜度 货令）做选择.Q:Isthemarketingmanager’shypothesistrue?问题:销售经理的估计可靠吗？问题四:AConcentratemanufacturerclaimsthatthephosphoricacidintheConcentratedoesnotvarymorethan2%.FivebatchesofConcentratewererandomlytested,thereadingswere98.2%,97.1%,98.9%,97.7%,and97.9%ofthetarget.Testat以=0.01浓缩液厂称其磷酸含量的变化不超过 2%.随机测试5批产品的结果为目标值的取a=0.01 98.2%,97.1%,98.9%,97.7%,and97.9% .Doesthedatasetsupportthemanufacturer’sClaim?测试结果与变化不超过2%的承诺吻合吗？Aplanthasperformedmaintenanceandadjustmentforitscanlineaimedatachievingabetterperformance.Datawererandomlycollectedbeforeandaftertheworkwasdone.一工厂为改善其罐线的灌注性能对其进行了保养和调试.以下是调试前后随机采集的样品所测得的净含量数据 ：调试前:358.6357.8357.1357.1 357.5 354.7 358.2 362.1 355.4 355.4 355.4359.6 358.6 357.5 356.8 358.6 355.7 348.9 354.7356.8 356.8调试后:356.8355.4356.1 357.1 355.4 355.4 351.5 蹄.6 363.9357.5 356.1 355.7 353.9 352.2 351.5 360.3Istheresufficientevidencetoshowthattheworkdone

onthecanlinehaspaidoffinbetterperformance?有充分证据表明灌注性能在调试后获得了改善吗？50Classified-InternalUseOnly50问题五：IN-CLASSEXERCISE5-2Theplanthasadjustedandrepairedforitscanlineagaintoseewhetherabetterperformanceisachieved.Datawererandomlycollectedaftertheworkwasdone.工厂重新进行了保养和调试.并随机采集样品 测得了净含量数据，以确定灌注性能是否有显著改善：调试前:358.6357.1357.5354.7358.2362.1355.4355.4355.4357.8359.6358.6357.5356.8358.6355.7348.9354.7357.1356.8356.8调试后:356.8358.1357.1355.4354.4351.5354.856365.9357.4357.5352.1351.7353.9352.2351.5360.3Istheresufficientevidencetoshowthattheworkdoneonthecanlinehaspaidoffinbetterperformance?有充分证据表明灌注性能在调试后获得了改善吗？

Whatifthedatabeforethemaintenanceandadjustmentandthatafterthe-maintenanceandadjustmentaretransposedeachother.-,假如将习题1-2中调试前后随机采集的样品所测得的净含量数据颠倒一下•即假设原调试前的数据为调试后的数据而

原调试后的数据为调试前的数据，你会得出怎样的结论？调试后:358.6355.4调试后:358.6355.4355.4348.9354.7357.1357.8357.1357.5359.6356.8354.7358.2362.1 355.4358.6357.5356.8358.6 355.7356.8调试前:356.8358.1357.1355.4354.4351.5358.6354.6365.9357.4357.5352.1351.7353.9352.2351.5360.3Istheresufficientevidencetoshowthattheworkdone

onthecanlinehaspaidoffinbetterperformance?有充分证据表明灌注性能在调试后获得了改善吗？54Classified-InternalUseOnly54问题六:IN-CLASSEXERCISE问题六:IN-CLASSEXERCISEAbottlingplanthasbeenexperiencingfluctuationsincarbonationonitsfilling

line.Theengineeringclaimsthattherefrigerationsystemisthemajorcause.The

manufactureriscalledtorepairthesystem.Thedataoftemperatureofproduct(F)

atthecoolerweregatheredbeforeandaftertherepairs.(F):维修前(F):维修前:41413736363440423836^635364338363435384438353436^63737373339383739383536维修后:403434323236393433333336^835333435323736353634313736^6353430343636363529Shouldtheinvoicebepaidbythebottlingplantorhastherepairserviceimprovedtherefrigerationsystem?是否有充分证据表明维修调试改善了致冷系统的性能?或者说，工厂是否应付款？

问题七:IN-CLASSEXERCISE问题七:IN-CLASSEXERCISEAprocessisspecifiedtoaverage57.5BrixonfinishedCoca-Colasyrup.Theplantisplannedtocheckwhethertheprocessisrunningproperly糖度配制过程的设定值为 57.5Brix.工厂决定进行一次检验，以了解过程运行是否正常.Theforthelastsixbatchesareasfollows:最后6批的测得值如下：57.51 57.35 57.44 57.55 57.60 57.56Isthereenoughevidencetoindicatethattheprocessisrunningdifferentlyfromthespecified?是否有证据表明过程未按设定的要求运行13问题八:IN-CLASSEXERCISE13问题八:IN-CLASSEXERCISEThemaintenanceengineerbelievestheseamersontwoindividualcanlinesareproducingthesameoverlapwidths.Hechecksthewidthatrandomtotesthishypothesis.维修工程师相信二条罐线的封盖机产生同样的重叠宽度，并为了检验其假设进行了随机抽样测试.Thedataarelisted:线1:0.0310.0330.0300.0350.0360.0340.0330.037线2:0.0290.0280.0300.030 0.0290.0280.0300.0330.035Dothetwocanlineseamersproducethesameaverageoverlap?检验结论支持维修工程师“二条罐线的封盖机产生同样重叠宽度”的假设吗?

ABottlersuspectsthatitsspectrophotometerandtheTSL’sdo

notgivethesameresultsofassay.Correlationanalysiswas

performedanddataweregathered