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c. Lower Conteol Limit = ?

d. Based on the x chart, is one or more samples beyond beyond the control limits?: yes or no

e. For the given data r = ? inches

The control limits got the 3-Sigma R-Chart are:

f. Upper Control Level = ? Inches

g. Lower Conteol Limit = ?

h. Based on the r chart, is one or more samples beyond beyond the control limits?: yes or no

(round your response to four decimal places)

Refer to Table S6.1 - 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: For the given data, the x=14.4008 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(UCL))=14.42211 inches (round your response to four decimal places) Lower Control Limit(LCL)= inches (round your response to four decimal places). \begin{tabular}{cccc} \hline SampleSize,n & MeanFactor,A2 & UpperRange,D4 & LowerRange,D3 \\ \hline 2 & 1.880 & 3.268 & 0 \\ 3 & 1.023 & 2.574 & 0 \\ 4 & 0.729 & 2.282 & 0 \\ 5 & 0.577 & 2.115 & 0 \\ 6 & 0.483 & 2.004 & 0 \\ 7 & 0.419 & 1.924 & 0.076 \\ 8 & 0.373 & 1.864 & 0.136 \\ 9 & 0.337 & 1.816 & 0.184 \\ 10 & 0.308 & 1.777 & 0.223 \\ 12 & 0.266 & 1.716 & 0.284 \\ \hline \end{tabular}