slide7_1 - Case study statistical quality control We need a...

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1 Case study: statistical quality  control We need a preliminary probability result first. Suppose one takes measurements with a  view towards detecting an error. The  probability of detecting it on every single try is  p. What is the expected number of tries before  the error is finally detected ?  Answer: 1/p    
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2 Statistical quality control In a statistical quality control application, a sample of  size 4 is taken every hour from a production line. The mean can shift at a random time by 1.5 standard  deviations.  Half of the items produced since the shift to the time  moment the process is stopped are defective and  cost the company 50 units each. Stopping the process and adjusting the machine   incurs a cost of 1500 units (including the cost of lost  production).
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