1) A quality control engineer monitors the quality of a
cylinder production line. He regularly
selects a sample of 5 units and measures the diameters. The specification requires the diameter to be
6 inches plus/minus 0.1 inch. The
following is a record of the measurements.
Is the production process in control?
Please use X bar and R charts to make an assessment.
|
Sample |
item 1 |
item 2 |
item 3 |
item 4 |
item 5 |
|
1 |
6.10 |
6.15 |
5.35 |
5.98 |
5.95 |
|
2 |
6.35 |
6.02 |
6.20 |
6.10 |
5.70 |
|
3 |
5.85 |
5.90 |
6.20 |
6.12 |
6.08 |
|
4 |
6.00 |
5.80 |
5.70 |
6.04 |
6.17 |
|
5 |
6.15 |
5.60 |
6.25 |
5.99 |
6.01 |
|
6 |
6.13 |
6.05 |
5.89 |
6.00 |
5.87 |
|
7 |
5.88 |
6.03 |
5.76 |
6.1 3 |
6.00 |
|
8 |
6.12 |
5.45 |
6.15 |
6.04 |
5.91 |





