George Washington University Operations And Supply Chain Management Assignment Help - Product quality

Question - Product quality assurance (QA) is a particularly tricky business in the dye manufacturing industry. A
slight variation in reaction condition can lead to a measureable change in the color of the product, and
since customers usually required extremely high color reproducibility from one shipment to another,
even a small color change can lead to rejection of a product batch.
Suppose the various color frequency and intensity values that comprise a color analysis are combined
into a single numerical value, C, for a particular yellow dye. During a test period in which the reactor
conditions are carefully controlled and the reactor is thoroughly cleaned between successive batches
(not the usual procedure), product analyses of 12 batches run ...Read More on successive days yield the following
color readings:
(a) The QA specification for routine production is that batch that falls more than two standard
deviations away from the test period mean must be rejected and sent for reworking. Determine the
minimum and maximum acceptable values of C.
(b) A statistician working in quality assurance and a production engineer are having an argument.
One of them, Frank, wants to raise the QA specification to three standard deviations and the other,
Joanne wants to lower it to one. Reworking is time-consuming, expensive, and very unpopular with
the engineers who have to do it. W ho is more likely to be the statistician and who the engineer?
Explain.
(c) Suppose that in the first few weeks of operation relatively few unacceptable batches are produced,
but then number begins to climb steadily. Think of up to five possible causes, and state how you
might go about determining whether or not each of them might in fact be responsible for the drop
ifquality.


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