Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machne and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are
|
|
BOTTLE |
|||
|
Sample |
1 |
2 |
3 |
4 |
|
1 |
0.594 |
0.622 |
0.598 |
0.59 |
|
2 |
0.587 |
0.611 |
0.597 |
0.613 |
|
3 |
0.571 |
0.58 |
0.595 |
0.602 |
|
4 |
0.61 |
0.615 |
0.585 |
0.578 |
|
5 |
0.58 |
0.624 |
0.618 |
0.614 |
|
6 |
0.585 |
0.593 |
0.607 |
0.569 |
a. Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-bar-chart.
b. Suppose that the specification for the bottle neck diameter is 0.600 +/- 0.050 and the population standard deviation is 0.013 in. What is the Process Capability index? The Process Capability Ratio?
c. If the firm is seeking four-sigma performance, is the process capable of producing the bottle?
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