Question: You are running a production process whose output is normally distributed with mean 50 mm and standard deviation 1mm. Please set up a control chart


You are running a production process whose output is normally distributed with mean 50 mm and standard deviation 1mm. Please set up a control chart system according to the following specifications:

Symmetrical control limits;

Average time to signal a shift in the mean of + 0.5mm = 4 hours;

Total probability of false alarm = 0.3%.

Now imagine that you implemented such a Control Chart System. How big should a shift in the mean be, in order to identify it on average after 1 hour?

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