Return to Problem 4 relating to Aspen Plastics producing plastic bottles to customer order. Suppose that the specification for the bottleneck diameter is 0.600 ± 0.050 and the population standard deviation is 0.013 inch.
a. What is the Process Capability Index?
b. What is the Process Capability Ratio?
c. If the firm is seeking four-sigma performance, is the process capable of producing the bottle?
The dimensions (inch) from the last six samples are

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BOTTLE 2 0.622 0.611 0.580 0.615 0.624 0.593 Sample 0.594 0.587 0.571 0.610 0.580 0.585 0.598 0.597 0.595 0.585 0.618 0.607 0.590 0.613 0.602 0.578 0.614 0.569 5