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1、SolutionstoEnd-of-SectionandChapterReviewProblems821CHAPTER18(ONLINE)18.1(a)ProportionofnonconformanceslargestonDay5,smallestonDay3.(b)n=100,=1.48/10=0.148,,(c)Proportionsarewithincontrollimits,sotheredoesnotappeartobeanyspecialcausesofvariation.18.2(a)Proportion
2、ofnonconformanceslargestonDay4,smallestonDay3.(b)=1036/10=103.6,=148/1036=0.142857,(c)Proportionsarewithincontrollimits,sotheredonotappeartobeanyspecialcausesofvariation.Copyright©2014PearsonEducation,Inc.SolutionstoEnd-of-SectionandChapterReviewProblems82118.3(a
3、)n=125,=146/3875=0.0377,<0,sothelowercontrollimitdoesnotexist.(b)TheproportionoftransmissionswitherrorsonDay23issubstantiallyoutofcontrol.Possiblecausesofthisvalueshouldbeinvestigated.18.4(a)n=500,=761/16000=0.0476>0Copyright©2014PearsonEducation,Inc.SolutionstoE
4、nd-of-SectionandChapterReviewProblems82118.4(a)cont.(b)Sincetheindividualpointsaredistributedaroundwithoutanypatternandallthepointsarewithinthecontrollimits,theprocessisinastateofstatisticalcontrol.18.5(a)=102.5667,=0.308742,LCL=0.171895,UCL=0.44559PHStatoutput:C
5、opyright©2014PearsonEducation,Inc.SolutionstoEnd-of-SectionandChapterReviewProblems82118.5(b)Yes,theprocessgivesanoutofcontrolsignalbecausetheproportionsfalloutsideofcont.thecontrollimitsonfourofthe30days.(c)=103.1923,=0.297428,LCL=0.162428,UCL=0.43242818.6(a)=11
6、3345/22=5152.0455,=1460/113345=0.01288,PHStatoutput:TheproportionofunacceptablecansisbelowtheLCLonDay4.Thereisevidenceofapatternovertime,sincethelasteightpointsareallabovethemeanandmostoftheearlierpointsarebelowthemean.Thus,thespecialcausesthatmightbecontributing
7、tothispatternshouldbeinvestigatedbeforeanychangeinthesystemofoperationiscontemplated.(b)Oncespecialcauseshavebeeneliminatedandtheprocessisstable,Deming’sfourteenpointsshouldbeimplementedtoimprovethesystem.Theymightalsolookatday4toseeiftheycouldidentifyandexploitt
8、hespecialcausethatledtosuchalowproportionofdefectsonthatday.Copyright©2014PearsonEducation,Inc.SolutionstoEnd-of-SectionandChapterReviewProblems82118.7(a)=0.04