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               9.700                          0.044                7                  9.703                          0.021 2               9.700                          0.051                8                  9.707                          0.058 3               9.689                          0.042                9                  9.695                          0.039 4               9.706                          0.037               10                 9.701                          0.038 5               9.695                          0.048               11                 9.703                          0.054 6               9.699                          0.053               12                 9.706                          0.061 Based on the sampling​ done, the control limits for ​3-sigma x chart​ are: Upper Control Limit ​(UCLx​) ​= [ 9.7266] enter your response here inches ​(round your response to four decimal​ places).   Lower Control Limit (LCLx) = [ 9.6740 ] enter your response here inches (round your response to four decimal places).   For the given  data, the R = [ 0.0455 ]  inches (round your respone to four decimal places).   The control limits for the 3-sigma​ R-chart are:   Upper Control Limit ​(UCLR​) = [ ? ]  enter your response here inches ​(round your response to four decimal​ places).

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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               9.700                          0.044                7                  9.703                          0.021
2               9.700                          0.051                8                  9.707                          0.058
3               9.689                          0.042                9                  9.695                          0.039
4               9.706                          0.037               10                 9.701                          0.038
5               9.695                          0.048               11                 9.703                          0.054
6               9.699                          0.053               12                 9.706                          0.061

Based on the sampling​ done, the control limits for ​3-sigma x chart​ are:
Upper Control Limit
​(UCLx​) ​= [ 9.7266]
enter your response here inches ​(round your response to four decimal​ places).
 
Lower Control Limit
(LCLx) = [ 9.6740 ]
enter your response here inches (round your response to four decimal places).
 
For the given  data, the R = [ 0.0455 ] 
inches (round your respone to four decimal places).
 
The control limits for the 3-sigma​ R-chart are:
 
Upper Control Limit
​(UCLR​) = [ ? ] 
enter your response here
inches ​(round your response to four decimal​ places).
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