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 11.204 0.033 7 11.201 0.041
2 11.204 0.041 8 11.203 0.034
3 11.189 0.034 9 11.197 0.027
4 11.208 0.051 10 11.201 0.029
5 11.195 0.031 11 11.201 0.039
6 11.197 0.036 12 11.206 0.047
For the given data, the x = nothing 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 (UCLx) = nothing inches (round your response to four decimal places).
Lower Control Limit (LCLx) = nothing inches (round your response to four decimal places).
Based on the x-chart, is one or more samples beyond the control limits? ▼ Yes No .
For the given data, the R = nothing inches (round your response to four decimal places).
The control limits for the 3-sigma R-chart are:
Upper Control Limit (UCLR) = nothing inches (round your response to four decimal places).
Lower Control Limit (LCLR) = 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 .