A product is manufactured to meet an upper specification limit of 150.0 and a lower specification limit

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A product is manufactured to meet an upper specification limit of 150.0 and a lower specification limit of 100.0. The product is inspected in subgroups of four and charts are maintained to monitor product quality. The process standard deviation has been determined to be equal to 5.00.
a. To ensure that no more than 0.135% of the product fails to meet each specification limit, over what range (high and low) can the process average be permitted to drift?
Calculate the upper control limit for the highest process average computed in part a and the lower control limit for the lowest process average.
b. Comment on the pros and cons of using a modified control chart using the limits computed in part b to control this process.
c. What would you expect the values of the centerline and control limits to be for an R chart to control this process?
d. What would you expect the values of the centerline and control limits to be for an R chart to control this process?
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