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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
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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