Question: An x chart is to be designed for a quality characteristic assumed to be normal with a standard deviation of 4. Specifications on the product

An x chart is to be designed for a quality characteristic assumed to be normal with a standard deviation of 4. Specifications on the product quality characteristics are 50 ± 20. The control chart is to be designed so that if the fraction nonconforming is 1%, the probability of a point falling inside the control limits will be 0.99. The sample size is n = 4. What are the control limits and center line for the chart?

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