The production manager at Sunny Soda, Inc., is interested in tracking the quality of the companys 12-ounce bottle filling line. The manager collected the following sample data (in fluid ounces per bottle) on the production process: Observation Sample 1 2 3 4 1 12.00 11.97 12.10 12.08 2 11.91 11.94 12.10 11.96 3 11.89 12.02 11.97 11.99 4 12.10 12.09 12.05 11.95 5 12.08 11.92 12.12 12.05 6 11.94 11.98 12.06 12.08 7 12.09 12.00 12.00 12.03 8 12.01 12.04 11.99 11.95 9 12.00 11.96 11.97 12.03 10 11.92 11.94 12.09 12.00 11 11.91 11.99 12.05 12.10 12 12.01 12.00 12.06 11.97 13 11.98 11.99 12.06 12.03 14 12.02 12.00 12.05 11.95 15 12.00 12.05 12.01 11.97 a. Construct upper and lower control limits for this process. b. Are the process mean and range in statistical control? Explain. c. Three additional samples are selected after the control limits have been set: Observation Sample 1 2 3 4 16 12.12 11.99 12.04 12.08 17 12.15 12.06 12.09 12.13 18 12.15 11.85 12.03 11.96 Is the process still in control? d. The design standard for the product calls for a fill level of 12.00 0.10 ounces. The bottles must be filled within the tolerances set for this product because the dietary information on the label shows 12 ounces as the serving size. Is the process capable of three sigma quality? (Hint: You need to calculate the approximate standard deviation from the sample data.)