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i) A quality analyst is responsible for the output of a cutting machine that cuts a component to a desired width of 12 cm. She takes regular samples...

i)

A quality analyst is responsible for the output of a cutting machine that cuts a component to a desired width of 12 cm. She takes regular samples every day to monitor its output. Five samples of four observations each have been taken, with actual measurements (in centimeters) shown below.

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a) Compute the control limits of mean and range charts. Is the process under control? Explain.


b) The analyst wants to plan for a producer's risk of 2%. Should this change the control limits calculated in the above part? Explain. If yes, then how?

[20%]

ii) A medical facility does MRIs for sports injuries. Occasionally a test yields inconclusive results and must be repeated. 200 observations are made in each sample and the number of retests are noted. Determine the upper and lower control limits for an appropriate control chart. Is the process in control? Explain.

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Screenshot at May 01 15-27-06.png

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