For the given data, the x double overbarx =____ inches (round your response to four decimal places).

Based on the sampling done, the control limits for 3-sigma x overbarx chart are:

Upper Control Limit (UCL Subscript x overbarUCLx )= ____ inches (round your response to four decimal places).

Lower Control Limit (LCL Subscript x overbarLCLx )=______ inches (round your response to four decimal places).

Based on the x overbarx -chart, is one or more samples beyond the control limits? Yes or No

For the given data, the, Upper R overbarR =___ inches (round your response to four decimal places).

The control limits for the 3-sigma R-chart are:

Upper Control Limit (UCL Subscript Upper RUCLR ) =____ inches (round your response to four decimal places).

Lower Control Limit (LCL Subscript Upper RLCLR )= _____ inches (round your response to four decimal places).

Based on the R-chart, is one or more samples beyond the control limits? Yes or No

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: ole Range (in.) 0.044 0.058 Sample Mean (in.) 11.102 11.102 11.089 11.104 11.099 11.099 0.051 0.042 0.037 0.048 0.053 Sample Sample Mean (in.) Range (in.) 11.103 0.021 11.107 11.093 0.039 11.101 0.038 11.101 0.054 11.106 0.061