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  3. a quality characteristic x follows a normal distri

A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when...

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Basic Math

A quality characteristic X follows a Normaldistribution with mean 100 and standard deviation 2 when theproduction process is in control.  

Part (a): Suppose that the lower and upperspecification limits are 94 and 106, respectively.  Whatis the percentage of produced product items that arenon-conforming, i.e., do not conform to the specification limits,when the process is indeed in control?

Part (b): The management has decided to monitorthe process with and R control charts with a sample sizeof 4.  What should be the lower limit, centerline and theupper limit for each of the two control charts?

Answer & Explanation Solved by verified expert
4.1 Ratings (580 Votes)
aAs we know that the formula for finding prob from normal distribution is first to find z value and find the respective probability from Z table Z Xbarmusdsqrtn The lower and upper specification limits are 94 and    See Answer
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