a) Establah a control chart for montoring the average weights of the bowing balls in which the upper and lower control limits are each two standard deviabions from the mean. What are the values of the control limins? Upper Controi Luis (UCL-) = 16.01 ' ib. (round your nesponso fo two ch cimal places). Lower Control Llimit (LCL-) = 15.53 ' lb. (round your response to two docimal placest). b) If throe standard deviasons are used in the chart, what are the values of the control limits? Upper Control Limat (UCL1)=16.13 ) t. (yound your response fo two decimal plices). Lower Controi Limi (LCLj)=15.417B. (round your response to two docimal placesk). How do these values change? A. The control imits are fighter for the 3-sigma x-chart than for the 2-sigme rechart. 18. The control tients are tighter for the 2-elgma x-chart than for the 3.egma x-chart. - C. The control lints for the 2-eigme x-chart and tor the 3-sigme x-chert are the cure. Choudhury's bowling ball factory in 1 llinois makes bewling balls of aduzt size and weight only. The standard deviaticn in the weight of a bowling ball producod at the factory is known to be 0.36 unds Each day for 24 days, the average weight, in pounds, of 9 of the bowling balis produced that dry has been assessed as follows: a) Establish a contrd chart tot montoring the average weights of the bowing bals in which the upper and lower control lirsits ace each two standard deviatons from the mean. What are the values of the conirol limits? Upper Control Limit (UCL))= 16. (round your response to two decimal places)