Refer to Table 56.1 - Factors for Computing Control Chart Limits./3.sigma) for this problem Auto pintons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controled. From sample sizes of 10 pistons produced each day, the mean and the range of this diam have been as follows: Mean Range R (mm) 154.9 Day 1 2 3 4 5 1532 46 1536 157.5 158.6 a) What is the value of in Definition Sample Size, x= 155.56 mm (round your response to two decimal places b) What is the value of R? R=4.44 mm (round your response to two decimal places) c) What are the UCL; and LCL; using 3-ma? Upper Control Limit (UCL) -mm (round your response to two decimal places). Lower Control Limit (LCL) -mm (round your response to two decimal placea). d) What are the UCL and LCLg using 3-sigma? Upper Control Limit (UCLA) -mm (round your response to two decimal places). Lower Control Limit (LCR) -pround your response to two decimal places). Lower Range, D, 0 0 O 2 3 4 5 Mean Factor A 1.880 1023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.200 Upper Range DE 3.268 2.574 2.282 2.115 2.004 1.924 1864 1810 1.777 1.718 7 8 9 10 12 0 0075 0136 0.184 0.223 0.284 Print Done Enter your answer in each of the answer boxes Save for Later This Question: 5 pts 15 of 15 The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100 5 Day Defectives 1 3 2 5 3 5 4 6 6 3 7 0 8 4 9 6 D 10 2 a) The upper and lower 3-sigma control chart limits are: UCL-Center your response as a number between 0 and 1, rounded to three decimal places) LCL - fenter your response as a number between 0 and 1, rounded to three decimal places). b) Given the limits in part a, is the process in control for the following days as shown in the table below Day Number of Defects In-Control 11 12 7 13 14