Refer to the table Factors 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 set at the standard position, Autopitch can throw hardballs toward a batter at an average speed of 60mph. To monitor these devices and to maintain the highest quality, Autopitch executive Neil Geismar takes samples of 10 devices at a time. The average range is 3mph. Using this information, construct control limits for x and R charts. a) For the given sample size, the control limits for the 3 -sigma x chart are: UCLx=units(roundyourresponsetothreedecimalplaces).LCLx=units(roundyourresponsetothreedecimalplaces). b) The control limits for the 3-sigma R-chart are: UCLR=LCLR=units(roundyourresponsetothreedecimalplaces)units(roundyourresponsetothreedecimalplaces).