可口可樂SPC培訓(xùn)考試

可口可樂SPC培訓(xùn)考試職務(wù):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(guān)系?WhichProcessesWouldYouChoose?Precise,notAccurate精密，不準(zhǔn)確1551

Accurate,notPrecise準(zhǔn)確，不精密1551

AccurateandPrecise準(zhǔn)確精密15512. 3a(standarddeviationorstandarderrorofthemean)200mlRB250mlRB產(chǎn)品的b)統(tǒng)計過程操縱記錄顯示有少數(shù)樣品組凈容量略低于355mm, 而均值符合標(biāo)準(zhǔn)．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(xí)題一：TellTheBehaviorOfEachProcess習(xí)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(xí)題2TheplantQChasrandomlysampled1.25literemptyPETbottlesinitsincomingcheckofpackageweightforacertainpackagesupplierinordertotestthesupplier’scapabilityofdeliveringPETbottleswithinPET QCPET QC對一 瓶供應(yīng)商的瓶重進(jìn)行了隨機(jī)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(shù)據(jù)．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(biāo)設(shè)定有問題嗎？Issupplier’sprocessofdeliveringbottleswithinspecificationcapable?供應(yīng)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(yīng)如何設(shè)(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(biāo)準(zhǔn)偏差deviationoftheprocessS=1.5ml, Cpk=1.0.forcontrollingNetContent凈含量的情況是按隨機(jī)采樣表S=1.5ml,Cpk=1.0.TheQCmanagerwantstobeabletodetectthemeanshiftofnetcontentat4mlsensibilitywithoutmisseddetectionbysub-groupingandusingX-barchartinsteadofXchart.Whatsub-groupsamplesizeQC經(jīng)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(yīng)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(jīng)理為了評測新招聘的銷售員 (已老銷售員見習(xí)二個月)的業(yè)務(wù)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(shè)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(shù)Control TargetIfCpkofyour250mlRBprocesscanreachonly0.80.Supposethestandarddeviationofthefillingprocessis2.6mlandtheCompany requirementoftheProcess performanceisCpk1.0,howdoyoudesignyourprocesscontrolinorder toensureyourprocessCpkvalueequivalently ≈1.0?如何設(shè)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(chǎn)品的控制獲得等效于Cpk≈1.0的結(jié)果(產(chǎn)品標(biāo)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(jié)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(dá)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(jīng)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(jù)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(diào)查．隨機(jī)調(diào)查了 300消費者.Thefeedbacktothequestionnaireis:165basedonbrandpreference,135basedonfreshness:問卷調(diào)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(jù)新鮮度.Q:Isthemarketingmanager ’shypothesistrue?問題: 銷售經(jīng)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(jī)測試5批產(chǎn)品的結(jié)果為目標(biāo)值的取 =0.01 98.2%,97.1%,98.9%,97.7%,and97.9% ．Doesthedatasetsupportthemanufacturer ’sClaim?測試結(jié)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(jìn)行了保養(yǎng)和調(diào)試．以下調(diào)試前后隨機(jī)采集的樣品所測得的凈含量數(shù)據(jù) :Istheresufficientevidencetoshowthattheworkdoneonthecanlinehaspaidoffinbetterperformance?有充分證據(jù)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(jìn)行了保養(yǎng)和調(diào)試．并隨機(jī)采集樣品 測得了凈含量數(shù)據(jù)，以確定灌注性能是否有顯著改善：Istheresufficientevidencetoshowthattheworkdoneonthecanlinehaspaidoffinbetterperformance?有充分證據(jù)表明灌注性能在改善嗎？Classified-InternalUseOnly52調(diào)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(diào)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(xí)題1-2中調(diào)試前后隨機(jī)采集的樣品所測得的凈含量數(shù)據(jù)顛倒一下．即假設(shè)原調(diào)試前的數(shù)據(jù)為調(diào)試后的數(shù)據(jù)而原調(diào)試后的數(shù)據(jù)為調(diào)試前的數(shù)據(jù)，你會得出怎樣的結(jié)論？maintenanceandadjustmentaretransposedeachother.調(diào)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(jù)表明灌注性能在調(diào)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(diào)試至正常，否則，工廠可拒付．以下是調(diào)試前后隨機(jī)在冷卻器采集的產(chǎn)品溫度manufactureriscalledtorepairthesystem.Thedataoftemperatureofproduct(F)(F):Shouldtheinvoicebepaidbythebottlingplantorhastherepairserviceimprovedtherefrigerationsystem?是否有充分證據(jù)表明維修調(diào)試改善了致冷系統(tǒng)的性能？或者說，工廠是否應(yīng)付款？11調(diào)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(shè)定值為57.5Brix ．工廠決定進(jìn)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(jù)表明過程未按設(shè)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(jī)產(chǎn)生同樣的重疊寬度，并為了檢驗其假設(shè)進(jìn)行了隨機(jī)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(jié)論支持維修工程師“二條罐線的封蓋機(jī)產(chǎn)生同樣重疊寬度”的假設(shè)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(jìn)行了比照分析，以確定是否