Lower control limit (LCL x) = ------------- Inches ( round your response to four decimal places)

Based on the x bar chart is one or more samples beyond the control limits? -------------

For the given data the R bar = ------- inches ( round your response to four decimal places)

The control limits for the 3 sigma r chart are

Upper control limit (UCL r ) = ----------- ( round your response to four decimal places)

Lower Control limit (LCL r ) = ---------- ( round your response to four decimal places)

Based on the r chart is one or more samples beyond the control limits? --------

Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) 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 1 2 3 4 5 6 Sample Mean (in.) 11.500 11.504 11.489 11.508 11.497 11.497 Range (in.) 0.044 0.051 0.042 0.037 0.048 0.053 Sample Sample Mean (in.) Range (in.) 7 11.501 0.021 8 11.505 0.058 9 11.497 0.039 10 11.501 0.038 11 11.503 0.054 12 11.504 0.061 = For the given data, the x = 11.5005 inches (round your response to four decimal places). Based on the sampling done, the control limits for 3-sigmax chart are: Upper Control Limit (UCL;) - inches (round your response to four decimal places)