# A Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only

A Choudhury&#39;s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows: Average (ib.). Average (ib.) Day Day 20 Average (ib.). | Day 13.9 14.0 14.0 19 14.1 14.0 | 11 14.0 Average (lb.) Day 13.9 13 13.9 14 14.1 15 14.0 16 17 13.9 13.9 14.0 13.9 14.1 14.1 13.9 13.9 13.9 13.9 14.0 | 21 22 23 10 13.9 18 13.9 24 13.9 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits? Upper Control Limit (UCL) Ib. (round your response to two decimal places). Lower Control Limit (LCL-) 1b. (round your response to two decimal places). b) If three standard deviations are used in the chart, what are the values of the control limits? Upper Control Limit (UCL;)= b. (round your response to two decimal places). Lower Control Limit (LCL)= b. (round your response to two decimal places). How do these values change? O A. The controllimits are tighter for the 3-sigme x-chart than for the 2-sigma x-chart. OB. The controllimits for the 2-sigma X-chart and for the 3-sigma x chart are the same O C. The control limits are tighter for the 2-sigine x-chart than for the 3-sigma x-chart.