Question: Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) SampleSize, nMean Factor, A Subscript2 Upper Range, D Subscript4 Lower Range, D
Refer to
Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) SampleSize, nMean Factor,
ASubscript2
Upper Range,
DSubscript4
Lower Range,
DSubscript3
21.8803.268031.0232.574040.7292.282050.5772.115060.4832.004070.4191.9240.07680.3731.8640.13690.3371.8160.184100.3081.7770.223120.2661.7160.284
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 | Sample Mean (in.) | Range (in.) | Sample | Sample Mean (in.) | Range (in.) |
| 1 | 11.70411.704 | 0.0220.022 | 7 | 11.70111.701 | 0.0210.021 |
| 2 | 11.70011.700 | 0.0320.032 | 8 | 11.70311.703 | 0.0200.020 |
| 3 | 11.69311.693 | 0.0170.017 | 9 | 11.69311.693 | 0.0140.014 |
| 4 | 11.70611.706 | 0.0410.041 | 10 | 11.70111.701 | 0.0150.015 |
| 5 | 11.69911.699 | 0.0230.023 | 11 | 11.70111.701 | 0.0220.022 |
| 6 | 11.69711.697 | 0.0210.021 | 12 | 11.70611.706 | 0.0320.032 |
Part 2For the given data, the
x double overbarx
=
enter your response here
inches (round your response to four decimal places).
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