4) A production process, sampled 30 times with seven items per sample, resulted in these i and R values: x = 28.5 inches and R = 1.6 inches. a) Calculate the and R limits for this process (round to 2 decimals). b) Does the following set of run test sample means indicate that the process is in control or out of control: 28.01, 28.8, 28.1, 28.9, 28.01, and 29.01? Demonstrate and explain why or why not, do not just answer yes or no. c) After the run test above, a new run test was conducted with nine samples of the item. The run test, produced these sample means: 28.55, 28.65, 29.00, 28.72, 28.9, 28.6, 28.5, 28.65, and 28.9. Is the process in or out of control for the mean? Demonstrate and explain why or why not, do not just answer yes or no. d) Is this process capable of meeting customer specifications of 28 + 0.5 inches? Demonstrate and explain why or why not, do not just answer yes or no