9. The Precision Machining Company

9. The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.015 inch. Management considers the variance in the process to be in control. Historically, the average range has been 0.002 inch, regardless of the process average. Design an x-chart to control this process, with a center line at 0.015 inch and the control limits set at three sigmas from the center line.Management provided the results of 80 minutes of output from the production line, as shown in Table 3.4. During these 80 minutes, the process average changed once. Allmeasurements are in thousandths of an inch.a. Set up an x-chart with n = 4. The frequency should be sample four and then skip four. Thus, your first sample would be for minutes 1 - 4, the second would be for minutes 9 - 12, and so on. When would you stop the process to check for a change in the process average?b. Set up an x-chart with n = 8. The frequency should be sample eight and then skip four. When would you stop the process now? What can you say about the desirability of large samples on a frequent sampling interval?