Question

# Twelve​ samples, each containing five​ parts, were taken from a process that produces steel rods at...

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.

Refer to Table S6.1 - Factors for computing control chart limits (3 sigma) for this problem.

 Sample ​Size, n Mean​ Factor, A2 Upper​ Range, D4 Lower​ Range, D3 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

Sample   Sample Mean (in.)   Range (in.)   Sample   Sample Mean (in.)   Range (in.)
1   12.602   0.044   7   12.603   0.021
2   12.600   0.051   8   12.607   0.058
3   12.591   0.042   9   12.597   0.039
4   12.604   0.037   10   12.601   0.038
5   12.599   0.048   11   12.601   0.054
6   12.601   0.053   12   12.606   0.061

- For the given data, the x-double bar = ? inches (round you response to four decimal places).

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

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

Lower Control Limit (LCL) = ? inches (round your response to four decimal places).

Based on the x-bar chart, is one or more samples beyond the control limits? yes?/no?

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) = ? inches (round your response to four decimal places).

Lower Control Limit (LCL) = ? inches (round your response to four decimal places).

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

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