The Marin Manufacturing Company (MMC) produces O-rings for high-end baby strollers. It is important for the company to maintain the high standards that so distinguish MMC from that of its competitors. The quality inspector randomly selects O-rings from the ring machine and measures the outside diameter of the ring, a critical quality dimension that determines whether the O-ring will fit properly. The dimensions (in.) from the last six samples are:
| O-ring Dimensions (in.) | ||||
| Sample | 1 | 2 | 3 | 4 |
| 1 | 0.604 | 0.612 | 0.588 | 0.6 |
| 2 | 0.597 | 0.601 | 0.607 | 0.603 |
| 3 | 0.581 | 0.57 | 0.585 | 0.592 |
| 4 | 0.62 | 0.605 | 0.595 | 0.588 |
| 5 | 0.59 | 0.614 | 0.608 | 0.604 |
| 6 | 0.585 | 0.583 | 0.617 | 0.579 |
Assume that only these six samples are sufficient and use the data to determine control limits for an R-chart and an x-chart. You need not draw the chart here on the test, just come up with the answers to these questions:
(1) What are the Upper Control Limits and Lower Control Limits for the R chart? Show work.
(2) What are the Upper Control Limits and Lower Control Limits for the x chart? Show work.
(3) Is the process under control? Why?
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