可口可樂SPC培訓考試

可口可樂SPC培訓考試職務:單位：YoumaychoosetoapplyfortherecognitionofpassingtheexaminationofonlyPart1orbothPart1andPart2.Pleasehighlightyourchoiceforthefollowing:1.(StatisticalprocessControl);2.(StatisticalHypothesisTests).試題Part1:統(tǒng)計過程操縱(StatisticalprocessControl)1.什么是過程能力分析(processcapabilitystudy)? 什么是統(tǒng)計過程操縱(SPC)?它們之間有如何樣的關系?WhichProcessesWouldYouChoose?Precise,notAccurate精密，不準確1551

Accurate,notPrecise準確，不精密1551

AccurateandPrecise準確精密15512. 3a(standarddeviationorstandarderrorofthemean)200mlRB250mlRB產品的b)統(tǒng)計過程操縱記錄顯示有少數樣品組凈容量略低于355mm, 而均值符合標準．審核員判定為不符合項，對此，你有異議嗎？請從統(tǒng)計過程操縱角度釋．(WhyShouldControlChartsBeUsedInpairs)?習題一：TellTheBehaviorOfEachProcess習題一：TellTheBehaviorOfEachProcess請說出以下各過程的表現(xiàn)(behavior)Mustacapableprocessbein-controlandanincapableprocessbenotin-control?有能力的過程受控，無能力的過程則不受控，對嗎？Isitcapable?Doesitmeetthespec.?是否有能力?是否受控?Isitcapable?是否有能力?是否受控?Isitcapable?Doesitmeetthespec.?是否有能力?是否受控?Isitcapable?是否有能力?是否受控?26.EXERCIXE2 習題2TheplantQChasrandomlysampled1.25literemptyPETbottlesinitsincomingcheckofpackageweightforacertainpackagesupplierinordertotestthesupplier’scapabilityofdeliveringPETbottleswithinPET QCPET QC對一 瓶供應商的瓶重進行了隨機抽樣以評估其供貨程”的能力和獲取統(tǒng)計過程控制所需的數據．Packageweightingrams:37.6538.0538.0037.5537.7538.0538.0537.4437.5538.0038.1037.6038.0537.5037.3537.5037.5538.1037.3537.4537.8537.9038.0537.0537.8038.0537.7537.8537.5537.60Specification: 38±0.5gHasthesuppliercorrectlytargetedtheweight?瓶重目標設定有問題嗎？Issupplier’sprocessofdeliveringbottleswithinspecificationcapable?供應商的“供貨過程”能力充分嗎？5PET瓶壁厚的規(guī)格是0.3mmCpk1.0，你應如何設(操縱均值？(Cpk0意味著什么？9.問問題九：如感度IncreaseSensitivityOfDetectionBySub-groupingTheplantiscurrentlytakeonesampleateachtimeintervalforitsRB250mlSprite.Thestandard某廠目前控制 RB250mlSprite每次取一個樣．過程的標準偏差deviationoftheprocessS=1.5ml, Cpk=1.0.forcontrollingNetContent凈含量的情況是按隨機采樣表S=1.5ml,Cpk=1.0.TheQCmanagerwantstobeabletodetectthemeanshiftofnetcontentat4mlsensibilitywithoutmisseddetectionbysub-groupingandusingX-barchartinsteadofXchart.Whatsub-groupsamplesizeQC經理希望用分組采樣取均值的方法使凈含量均值變化的感度為4ml，且避免漏檢率的影響。為此，應每次取幾個樣？ssshouldbeused?敏提示：xn84問題十:SignificantChangeInProcessAverage問題十:SignificantChangeInProcessAverage過程均值的顯著變化WeekSales１ 1500２ 1450３ 1750４ 1890５ 1450WeekSales19751275185019001875Achannelsalesmanagerwantsto1415161718hiredsalesrepresentativewhohaschecktheperformanceofanewlyhadtwomonthspracticewiththemanagerarrangesthenewpersonoldsalesrepresentative.Theperson’shelp,andthencomparehistorunthebusinesswithouttheoldsalesvolumewiththeoldperson ’shistoricalsalesrecord.銷售經理為了評測新招聘的銷售員 (已老銷售員見習二個月)的業(yè)務能力,將其開始獨立運作的一周銷量與老銷13135026cause),你會對新手的銷售業(yè)績作何評價？74６1760191600７1890201350８2000211975售員的業(yè)績記錄作統(tǒng)計分析．左表為９2100221675原銷售員前25周的銷量．101850231930111700241700該新手第一周的銷量為1125箱。121600251675假設不存在特殊原因(special問題一：Use問題一：UserlZ-值確定過程控制參數Control TargetIfCpkofyour250mlRBprocesscanreachonly0.80.Supposethestandarddeviationofthefillingprocessis2.6mlandtheCompany requirementoftheProcess performanceisCpk1.0,howdoyoudesignyourprocesscontrolinorder toensureyourprocessCpkvalueequivalently ≈1.0?如何設計統(tǒng)計過程控制均值以使Cpk0.80,σ2.6ml的過程對凈容量低限產品的控制獲得等效于Cpk≈1.0的結果(產品標示凈容量為2250ml)？Z-值表(裁截）問題二：問題二：Z－值是越大越好還是越小越好提示二例：1.在inter-labchecksample 分析中,上海TSL 的測試結果與過程均值最接近， Z－值在有實驗室中最小中國2.凈含量控制過程σ越小Z－值越大例：某罐線σ值不夠小，達到Cpk1.00( ±3σ)zx348 3552.52.84問題三：IN-CLASSEXERCISEAmarketingmanagerbelievesthat70%ofconsumerschoosetobuy beveragesbetweenbrand “K”andbrand “P”onthebasisoftheirbrandloyaltyto “K”,only30%consumerscaremoreforfreshness(productage).Thedirectorarrangesasurveytotestthehypothesisbyrandomlyinvestigating300consumers.一銷售經理估計有 70%消費者會基于其對 “K”品牌的忠誠度而不選擇“P”飲料，祗有30%消費者會根據新鮮度 (貨令)做選擇．為了檢驗這一估計的可靠性，市場總監(jiān)安排了問卷調查．隨機調查了 300消費者.Thefeedbacktothequestionnaireis:165basedonbrandpreference,135basedonfreshness:問卷調查返饋表明有 165消費者會基于忠誠度選擇 “K”飲料，135消費者會根據新鮮度.Q:Isthemarketingmanager ’shypothesistrue?問題: 銷售經理的估計可靠嗎？5問題四：IN-CLASSEXERCISEAConcentratemanufacturerclaimsthatthephosphoricacidintheConcentratedoes notvarymorethan2%.FivebatchesofConcentratewererandomlytested, readingswere98.2%,97.1%,98.9%,97.7%,and97.9%ofthetarget.Testat =0.01濃縮液廠稱其磷酸含量的變化不超過 2%．隨機測試5批產品的結果為目標值的取 =0.01 98.2%,97.1%,98.9%,97.7%,and97.9% ．Doesthedatasetsupportthemanufacturer ’sClaim?測試結果與變化不超過 2%的承諾吻合嗎？7IN-CLASSEXERCISE5-1IN-CLASSEXERCISE5-1Aplanthasperformedmaintenanceandadjustmentforitscanlineaimedatachievingabetter performance.Datawererandomlycollectedbeforeandaftertheworkwasdone.一工廠為改善其罐線的灌注性能對其進行了保養(yǎng)和調試．以下調試前后隨機采集的樣品所測得的凈含量數據 :Istheresufficientevidencetoshowthattheworkdoneonthecanlinehaspaidoffinbetterperformance?有充分證據表明灌注性能在改善嗎？Classified-InternalUseOnly50問題五：IN-CLASSEXERCISE5-2Theplanthasadjustedandrepairedforitscanlineagaintoseewhetherabetter performanceisachieved.Datawererandomlycollectedaftertheworkwasdone.工廠重新進行了保養(yǎng)和調試．并隨機采集樣品 測得了凈含量數據，以確定灌注性能是否有顯著改善：Istheresufficientevidencetoshowthattheworkdoneonthecanlinehaspaidoffinbetterperformance?有充分證據表明灌注性能在改善嗎？Classified-InternalUseOnly52調試前:358.6357.1357.5354.7358.2362.1355.4355.4355.4357.8359.6358.6357.5356.8358.6355.7348.9354.7357.1356.8356.8調試后:356.8356.1357.1355.4355.4351.5363.9355.4357.5356.1355.7353.9352.2351.5360.3:358.6357.1357.5354.7358.2362.1355.4355.4355.4357.8359.6358.6357.5356.8358.6355.7348.9354.7357.1356.8356.8:356.8358.1357.1355.4354.4351.5365.9357.4357.5352.1351.7353.9352.2351.5360.3問題五：IN-CLASS問題五：IN-CLASSEXERCISE5-3Whatifthedatabeforethemaintenanceandadjustmentandthatafterthe假如將習題1-2中調試前后隨機采集的樣品所測得的凈含量數據顛倒一下．即假設原調試前的數據為調試后的數據而原調試后的數據為調試前的數據，你會得出怎樣的結論？maintenanceandadjustmentaretransposedeachother.調試前:356.8 358.1354.6 365.9 357.4351.5360.3357.1 355.4 354.4 351.5 358.6357.5 352.1 351.7 353.9 352.2348.9 354.7357.1 356.8356.8355.7Istheresufficientevidencetoshowthattheworkdoneonthecanlinehaspaidoffinbetterperformance?有充分證據表明灌注性能在調試后獲得了改善嗎？Classified-InternalUseOnly54問題六：IN-CLASSEXERCISEAbottlingplanthasbeenexperiencingfluctuationsincarbonationonitsfillingline.Theengineeringclaimsthattherefrigerationsystemisthemajorcause.Theatthecoolerweregatheredbeforeandaftertherepairs.一工廠懷疑其炭酸化器不穩(wěn)定的主要原因是致冷系統(tǒng)的問題．制造商承諾調試至正常，否則，工廠可拒付．以下是調試前后隨機在冷卻器采集的產品溫度manufactureriscalledtorepairthesystem.Thedataoftemperatureofproduct(F)(F):Shouldtheinvoicebepaidbythebottlingplantorhastherepairserviceimprovedtherefrigerationsystem?是否有充分證據表明維修調試改善了致冷系統(tǒng)的性能？或者說，工廠是否應付款？11調試后:358.6357.1357.5354.7 358.2362.1355.4355.4 355.4357.8359.6358.6 357.5356.8358.6維修前:414137363634404238363635364338363435384438353436363737373339383739383536維修后:403434323236393433333336383533343532373635363431373636353430343636363529問題七：問題七：IN-CLASSEXERCISECoca-Colasyrup.TheplantisplannedtocheckwhetherAprocessisspecifiedtoaverage57.5Brixonfinishedtheprocessisrunningproperly糖度配制過程的設定值為57.5Brix ．工廠決定進行一次檢驗，以了解過程運行是否正常．Theforthelastsixbatchesareasfollows:最后6批的測得值如下：57.51 57.35 57.44 57.55 57.6057.56Isthereenoughevidencetoindicatethattheprocessisrunningdifferentlyfromthespecified?是否有證據表明過程未按設定的要求運行 ?13問題八：問題八：IN-CLASSEXERCISEThemaintenanceengineerbelievestheseamers ontwoindividualcanlinesareproducingthesameoverlapwidths.Hechecksthewidthatrandomtotesthishypothesis.維修工程師相信二條罐線的封蓋機產生同樣的重疊寬度，并為了檢驗其假設進行了隨機抽樣測試．Thedataarelisted:1:2:0.031 0.033 0.0300.029 0.028 0.0300.0350.0350.0300.036 0.034 0.033 0.0370.029 0.028 0.030 0.033Dothetwocanlineseamers檢驗結論支持維修工程師“二條罐線的封蓋機產生同樣重疊寬度”的假設嗎?averageoverlap?producethesame15問題九：IN-CLASSEXERCISE9問題九：IN-CLASSEXERCISE9ABottlersuspectsthatitsspectrophotometerandtheTSLperformedanddataweregatheredtotestifthereissignificantdifferencebetweenthetwolabs.裝瓶廠QC感覺其分光光度計測得的主劑含量與TSL不一致，于是進行了比照分析，以確定是否