2. Refer to Table S6.1-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: Range (in.) Sample 1 Sample Sample Mean (in.) Range (in.) 2 Sample Mean (in.) 14.200 14.204 14.189 14.208 14.195 0.033 0.041 8 0.034 9 0.051 10 0.031 11 14.201 14.203 14.193 14.203 14.203 0.041 0.034 0.027 0.029 0.039 0.047 6 14.199 0.036 12 14.206 For the given data, the x = inches (round your response four decimal places). Based on the sampling done, the control limits for 3-sigma x 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 places). Based on the x-chart, is one or more samples beyond the control limits? (1) For the given data, the R= The control limits for the 3-sigma R-chart are: Upper Control Limit (UCL) = Lower Control Limit (LCL) = Based on the R-chart, is one or more samples beyond the control limits? (2) 2: Definition Sample Mean Factor, Upper Range, Lower Range, Size, n D D3 2 1.880 3.268 0 3 1.023 2.574 0 0.729 2.282 0 5 0.577 2.115 [!!] 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 (1) O No (2) O No O Yes O Yes inches (round your response to four decimal places). inches (round your response to four decimal places). inches (round your response to four decimal places). 3 4 5