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Statistical Process Control and Capability Analysis

Evaluation of statistical tools for process control and quality assurance.

Daniel Mitchell
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Statistical Process Control and Capability AnalysisProblem 10-28The following is a control chart for the average number of minor errors in 22 service reports.a.Calculate the observed mean, expected mean, standard deviation andzvalue for the median andup/down test.(Negative amounts should be indicated by a minus sign. Round your answers to 2decimalplaces.)TestObservedExpectedStd.devzMedian8.00±.0512.00±.052.29±.05-1.75 ±.05Up/Down11.00±.0514.33±.051.89±.05-1.76 ±.05b.Basedonyourcalculationconcludewhetherthetestisrandomornon-random.TestConclusionMedianRandomUp/DownRandomExplanation:Notethatallpointsarewithinthecontrollimits,sotheprocessisapparentlyincontrol.Runtests:TestObservedExpectedStd.devzConclusionMedian8.0012.002.29-1.75RandomUp/Down11.0014.331.89-1.76RandomBecauseboththeruntestsindicatedthattheoutputisrandom,theprocessisprobablyrandom.Problem 10-25An appliance manufacturer wants to contract with a repair shop to handle authorized repairs inIndianapolis. The company has set an acceptable range of repairtime of 50 minutes to 90minutes. Two firms have submitted bids for the work. In test trials, one firm had a mean repairtime of 74 minutes with a standard deviation of 4.0 minutes and the other firm had a mean repairtime of 72 minutes with a standard deviation of 5.1 minutes.(Do not round intermediatecalculations. Round your answers to 2 decimal places.)FirmCpk

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Statistics

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