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At Adam Kay's factory, the inspectors took twelve samples of steel rods, each containing six rods. They measured the length of each rod, and

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At Adam Kay's factory, the inspectors took twelve samples of steel rods, each containing six rods. They measured the length of each rod, and calculated the sample means and ranges: Sample Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 10.602 0.033 7 10.603 0.041 234 10.602 0.041 8 10.607 0.034 10.589 0.034 9 10.593 0.027 10.604 0.051 10 10.603 0.029 5 10.595 0.031 11 10.603 0.039 6 10.597 0.036 12 10.604 0.047 The sample size (n) of this case is 6. = For the given data, the x = 10.6002 inches (round your response to four decimal places). Based on the sampling done, the control limits for x-chart are: Upper Control Limit (UCL) = 10.6180 inches (round your response to four decimal places). Lower Control Limit (LCL) = 10.5805 inches (round your response to four decimal places). Based on the x-chart, is one or more samples beyond the control limits? No. For the given data, the R = .03691 inches (round your response to four decimal places). The control limits for the R-chart are: Upper Control Limit (UCLR) = 0.0739 inches (round your response to four decimal places). Lower Control Limit (LCLR) = 0 inches (round your response to four decimal places). Based on the R-chart, is one or more samples beyond the control limits? No

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