So confused in this one. Can you lease show a step-by-step clear solution how this one gets worked out? Please answer a and b and explain.

Thanks!!

The production manager at Sunny Soda, Inc., is interested in tracking the quality of the company's 12-ounce bottle filling line. 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. The design standard for the product calls for a fill level of 12 + 0.10 ounces. The manager collected the accompanying sample data (in fluid ounces per bottle) on the production process. Click the icon to view the sample data. Data Table X Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Design an R- and an X-chart for this process Bottle The UCLR equals ounces and the LCL equals ounces. (Enter your responses rounded to three decimal places.) Sample 1 2 3 4 12.07 12.06 12.07 12.10 11.92 11.99 12.06 11.91 12.12 11.94 11.87 12.10 11.88 11.92 12.08 12.10 12.04 11.96 11.99 11.86 6 11.86 11.93 11.88 12.03 7 11.90 11.98 11.85 11.86 11.93 11.89 12.09 11.88 12.09 12.01 11.98 12.12 11.95 11.97 11.91 11.90 12.10 12.09 11.89 12.13 11.93 11.93 12.02 11.87 12.02 12.02 12.06 11.91 11.92 12.02 11.96 12.05 15 11.98 12.04 11.92 11.92 Print DoneThe production manager at Sunny Soda, Inc., is interested in tracking the quality of the company's 12-ounce bottle filling line. The bottles must be filled within the tolerances set for this product because the dietary information on the label shows 12 ounces the serving size. The design standard for the product calls for a fill level of 12 0.10 ounces. The manager collected the accompanying sample data (in fluid ounces per bottle) on the production process. Click the icon to view the sample data. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Design an R- and an X-chart for this process. The UCLR equals ounces and the LCLR equals ounces. (Enter your responses rounded to three decimal places.) More Info -X Factors for calculating three-sigma limits for the X-chart and R-chart Size of Sample Factor for UCL and LCL Factor for LCL for Factor for UCL for (n) for x-chart (A2) R-Chart (D3) R-Chart (D4) 1.880 3.267 1.023 2.575 0.729 2.282 0.577 2.115 0.483 2.004 0.419 0.076 1.924 0.373 0. 136 1.864 0.337 0. 184 1.816 0.308 0.223 1.777 Print Donea.)Are the process average and range in statistical control? The process average is (1)_ statistical control and the process range is (2) _ statistical control. b is the process capable of meeting the design standard at four-sigma quality? Explain. The Cok is equal to , so the process (3) _ capable. (Enter your response rounded to three decimal places.)