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 Emmanuel 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 4 5 6 Sample Mean (in.) 13.701 13.700 13.693 13.708 13.699 13.697 Range (in.) 0.033 0.041 0.034 0.051 0.031 0.036 7 8 9 10 11 12 13.703 13.707 13.697 13.703 13.701 13.708 0.011 0.034 0.027 0.029 0.039 0.047 For the given data, the x = 13.7017 inches (round your response to four decimal places). Based on the sampling done, the control limits for 3-sigma x chart are: Upper Control Limit (UCL-) = 13.723 inches (round your response to four decimal places! Lower Control Limit (LCL;) = 13.6804 inches (round your response to four decimal places). = Based on the x-chart, is one or more samples beyond the controllimits? No For the given data, the R = 0.0369 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) Definition Sample Size, n Lower Range, Dz 2 0 3 0 4 5 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 O O o 6 7 8 9 10 12 0.076 0.136 0.184 0.223 0.284