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1、 LETDATATELLYOU Statistics Dataanalysis Anddecision G5group ForQTMPresentation G5IndustryCo Ltd HEREISACOMPANY It sbusinessscopeis Allkindsofmetalstampings 22 1 53 6 11 4 12 2 Themainproducts Notebook Carcomponents Smartphone Sever THEREISACONTRACT NOW BUT ITREQUIRETHEPRICE TOREDUCEFOR15 DOYOUSIGN T
2、HECONTRACT THEN YOUNEEDTHEDATA TOCOMPILESTATISTICS TOANALYSE TOMAKETHEDECISION PartI TOCOMPILESTATISTICS Wecollecttheforty twodays datafromthefactory Inthissituation itseemsthattheprojectwillbelossifyouacceptthecontract Summarymeasuresforselectedvariables DPPM Thenumberofdefectsinmillionofproducts F
3、romthedata wecangetthefollowinginformation So weshouldusetheseinformationtofurtheranalyzetheissue PartII DATAANALYSIS Accordingtothedata thediagramcanbedraw Fromthediagramwecanfindthegrossprofitratioisinverserelativewiththedefectsratio Then Wewillthroughtheregressionanalysistofindthelinearequation F
4、romtheF testandT test wegetthep value SignificantLevel0 05andtheR square 0 9435 alltheseindicatetheDPPMandtheprofitissignificantcorrelation FromtheScatterdiagramwecanfindtheDPPMandtheprofitislinearcorrelation Now wecangetthelinearequation Profit 1 9951 0 0001 DPPMSo DPPMshoulddownto19951andbelow The
5、DPPMisnormaldistribution Thebiggestvalueoffrequencyappearnearthemean NOW WEWILLANALYSETHEDATAOFDPPM HypothesisTesting TheDPPMdataasindependentsampleswereanalyzedbyTtest Assumption H019951 For19951isthebreak evenpoint P SignificantLevel5 WerejectH0andacceptHa soforthepopulationDMMPwillmorethan19951 I
6、facceptthecontractwemustimprovetheproject SOLUTION1 SOLUTION3 SOLUTION2 IMPROVEMENT Therearethreesolutionstobechoosefortheimprovement SOLUTION1 SOLUTION3 SOLUTION2 Wetestthreesolutionsrespectively andobtaintherelevantdata ThroughANOVA wegetthep value Significantlevel0 05 sotheH0willberejected thenth
7、reesolutionissignificantdifference AndtheDMMPsamplemeansofeverysolutionareallunderthebreak evenpoint19951 Allsolutionisfeasible Howtochoosethesolution weneeddecisions PartIII MAKETHEDECISION Itisestimatedbyexpert Wegottheexpectedreturnsofeachsolution Theexpectedreturnsofeachsolution WEMAKETHEDECISIO
8、NTREE THEoptimaldecisionis Signthecontractandchoosethesolution2tomakeimprovement Afterimprovement wecollectedaboutthirtydays datatocheck Usethethirtydays data wedrawtheP controlchart FromtheP chartweknowtheproductiveprocessisinthecontrol Usethedataafterimprovement wecanestimatetheDPPMinnewsituation Accordingthesampledata wegetthelowerandupperlimitin95 confidencelevel Thenusethereturnfunction Profit 1 9951 0 0001 DPPM Weestimatetheprofitperunitwillbeintheinterval1 66and1 58 Now wecansignthecontractanditwillbeprofit
