Question: A quality control manager at a manufacturing facility has taken four samples with four observations each of the diameter of a part. Samples of Part
A quality control manager at a manufacturing facility has taken four samples with four observations each of the diameter of a part.
Samples of Part Diameter in Inches
| 1 | 2 | 3 | 4 | |||
| 6.2 | 6.2 | 5.8 | 6.0 | |||
| 6.0 | 6.3 | 6.0 | 6.3 | |||
| 6.1 | 5.8 | 5.8 | 6.0 | |||
| 5.9 | 6.3 | 5.7 | 5.7 |
(a) Compute the mean of each sample. (Round answers to 3 decimal places, e.g. 15.250.)
| Mean of sample 1 | ||
| Mean of sample 2 | ||
| Mean of sample 3 | ||
| Mean of sample 4 |
(b) Compute an estimate of the mean and standard deviation of the sampling distribution. (Round answers to 4 decimal places, e.g. 15.2500.)
| Mean | ||
| Standard deviation |
(c) Develop control limits for 3 standard deviations of the product diameter. (Round answers to 2 decimal places, e.g. 15.25.)
| CL | ||
| UCL | ||
| LCL |
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