a) Calculate the 3sigma control limits for this process (assume the standard deviation is unknown). (6) b) Create the appropriate control chart(s) required to monitor this process. (6) c) Is the process in control? Justify your response. (2) d) Calculate the process capability measures for this process? (4) e) Is the process capable of meeting the specifications? Fully explain your response. (2)

The quality control manager at a pipe manufacturing facility is monitoring the quality of the company's manufacturing process. There has been some concern related to the quality of the operation in accurately producing parts that meet the specification of the customer. The product currently being monitored is designed to have a diameter of 5 cm + 0.05 cm. To monitor quality, the production supervisor has ordered the use of statistical process control. The company has collected the following sample data for the process. Note: Excel may be used to work this problem but your final answers, including the control charts, must be transferred to the test document. Be sure to upload the Excel file to Blackboard along with your test document before submitting. Observation Sample 1 2 4 5 6 3 4.94 7 5.04 5.02 5.01 1 2 4.96 4.96 5.01 5.03 5.07 4.99 4.95 4.92 4.98 5.08 5.09 5.00 4.90 4.92 3 4.99 4.93 5.00 4.91 4.99 4.89 4 5.03 5.01 4.99 5 4.95 5.03 5.05 5.01 4.92 5.06 5.01 4.97 5.07 5.04 5.03 6 4.97 4.96 5.03 7 5.05 5.06 5.10 5.00 4.96 5.01 5.10 5.10 4.99 5.08 5.02 5.08 8 5.09 4.99 4.88 4.99 5.05 9 5.14 4.99 5.08 5.09 4.99 10 5.01 4.98 5.08 5.07 4.99 5.00 4.98 a) Calculate the 3-sigma control limits for this process (assume the standard deviation is unknown). (6) b) Create the appropriate control chart(s) required to monitor this process. (6) c) is the process in control? Justify your response. (2) d) Calculate the process capability measures for this process? (4) e) Is the process capable of meeting the specifications? Fully explain your response. (2)