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 | |||
| 6.3 | 6.3 | 5.9 | 6.0 | |||
| 6.3 | 6.2 | 6.1 | 6.2 | |||
| 5.8 | 6.3 | 5.9 | 6.2 | |||
| 5.8 | 6.0 | 6.3 | 6.3 | |||
(a) Compute the mean of each sample
| Mean of sample 1 | enter mean of sample 1 rounded to 3 decimal places | |
|---|---|---|
| Mean of sample 2 | enter mean of sample 2 rounded to 3 decimal places | |
| Mean of sample 3 | enter mean of sample 3 rounded to 3 decimal places | |
| 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 | enter mean rounded to 4 decimal places | |
|---|---|---|
| Standard deviation | enter standard deviation rounded to 4 decimal places |
(c) Develop control limits for 3 standard deviations of the product diameter. (Round answers to 2 decimal places, e.g. 15.25.)
| CL | enter control limit rounded to 2 decimal places | |
|---|---|---|
| UCL | enter the upper control limit rounded to 2 decimal places | |
| LCL | enter the lower control limit rounded to 2 decimal places |
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