Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)LOADING... 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 Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 8.502 0.033 7 8.503 0.041 2 8.502 0.041 8 8.507 0.034 3 8.489 0.034 9 8.495 0.027 4 8.506 0.051 10 8.501 0.029 5 8.499 0.031 11 8.503 0.039 6 8.497 0.036 12 8.506 0.047

For the given data, the x double overbar = 8.5007 inches (round your response to four decimal places). Based on the sampling done, the control limits for 3-sigma x overbar chart are: Upper Control Limit (UCL Subscript x overbar) = 8.5269 inches (round your response to four decimal places). Lower Control Limit (LCL Subscript x overbar) = 8.4744 inches (round your response to four decimal places). Based on the x overbar-chart, is one or more samples beyond the control limits? No . For the given data, the Upper R overbar = 0.0 inches (round your response to four decimal places). The control limits for the 3-sigma R-chart are: Upper Control Limit (UCL Subscript Upper R) = nothing inches (round your response to four decimal places). Lower Control Limit (LCL Subscript Upper R) = nothing inches (round your response to four decimal places). Based on the R-chart, is one or more samples beyond the control limits? Yes No . Enter your answer in each of the answer boxes.