Sample Size, n	Mean Factor, A2	Upper Range, D4	Lower Range, D3
2	1.880	3.268	0
3	1.023	2.574	0
4	0.729	2.282	0
5	0.577	2.115	0
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

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 Range (in.) Sample Sample Mean (in.) Range (in.) 1 7 2 8 Sample Mean (in.) 14.100 14.102 14.091 14.104 14.099 14.097 3 0.033 0.041 0.034 0.051 0.031 0.036 9 10 14.103 14.105 14.097 14.101 14.103 14.108 0.041 0.034 0.027 0.029 0.039 0.047 4 11 5 6 12 For the given data, the x = 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;) = 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? For the given data, the R= = 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