Refer to the table Eactors for Computing Control Chart Limits (3.sigma) for this problem. Autopitch devices are made for both major- and minor-league teams to help them improve their batting averages. When sot at the standard position, Autopitch can throw hardballs toward a batter at an average speed of 70 mph. To monitor these devices and to maintain the highest quality, Autopitch executive Nol Geismar takes samples of 12 devices at a time. The average range is 5 mph a) Using this information, construct control limits for the x-chart. UCL;= mph (round your response to three decimal places) LCL - mph (round your response to three decimal places), b) Using this information, construct control limits for the R.chart. UCLR=mph (round your response to three decimal places) LCLA-Omph (round your response to three decimal places). i Data Table X Sample Size, n Upper Range, Lower Range, D3 D4 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 2 3 4 5 6 7 8 9 10 12 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 0 0.076 0.136 0.184 0.223 0.284 Print Done