Part 1: SPC We've outlined several tools and techniques that have been used in business to improve organizational efficiency and effectiveness. Two useful tools that support this goal are statistical process control (SPC) and capability analysis. We've also focused on applying these techniques to reduce waste, improve product and service quality and increase customer satisfaction. That information provides the background needed to answer the following questions. I 1.A X and R charts and capability analysis The UWEX LED Electric Company produces LED light bulbs. The following data on the number of lumens for 15-watt light bulbs were collected -l-nl-l- m ----- \"mum- r a) Calculate control limits foran X -chart. b) Calculate control limits for an R-chart. c) Is the process in control? d) Since these data were collected, some new employees were hired. A new sample obtained the following readings: 570, 603, 623, and 583. Is the process in control after the new sample data were added to the original table? Note: Use the control limits obtained in parts (a) and (b) above. e) Suppose that the nominal amount of light emitted by a light bulb (in lumens) is 600110. Calculate the capability index (3,, for this process. Note: Estimate the process mean and standard deviation using all sample observations, i.e. the original data and a new sample in part (d). Briey describe how you would use these results to improve process performance