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as the sample size increases the upper control limit for a process must be decreased? true...

as the sample size increases the upper control limit for a process must be decreased? true or false
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True...

Would you expect the control limits based on 3 samples to be the same as the one based on 1000 samples? You probably won't. The one with the most data i.e. 1000 samples will give more accurate results with a lesser difference between Upper Control Limit & Lower Control Limit. Here, Upper Control Limit will be lesser and close to the central limit.

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