Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Twelve samples, each containing five parts were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Sample Mean (in.) Range (in.) 1 2 3 4 5 5 6 Sample Mean (in.) 12.902 12.904 12.889 12.908 12.897 12.899 Range (in.) 0.044 0.051 0.042 0.037 0.048 0.053 7 8 9 10 11 12 12.901 12.903 12.897 12.901 12.903 12.904 0.021 0.058 0.039 0.038 0.054 0.081 For the given data, the x = 12.0007 inches (round your response to four decimal places). , ( Based on the sampling done, the control limits for 3-sigmax chart are: Upper Control Limit (UCL;) - inches (round your response to four decimal places). Lower Control Limit (LCL;) - inches (round your response to four decimal pieces). ). Based on the x-chart, is one or more samples beyond the control limits? For the given data, the = inches (round your response to four decimal places). The control limits for the 3-sigma R-chart are: Upper Control Limit (UCLR) - inches (round your response to four decimal places). = Lower Control Limit (LCLR) - inches (round your response to four decimal places). = Based on the R-chart, is one or more samples beyond the control limits? V 6 X Definition Mean Factor, Upper Range, Lower Range, A2 D4 DS OWN Sample Size, n 2 2 3 3 4 5 6 7 7 8 9 10 12 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.268 3.288 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 0 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 Print Done