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  Aspen Plastics produces plastic bottles to customer order

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Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine 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 1 3 4 0.588 0.592 0.621 0.603 0.591 0.581 0.602 0.613 0.591 0.598 0.578 0.573 0.615 0.590 0.583 0.591 0.589 0.614 0.603 0.601 0.622 0.584 0.623 0.576 ? ? ?? ? ? Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Suppose that the specification for the bottle neck diameter is 0.600+ 0.050 in. and the population standard deviation is 0.013 in. a. What is the process capability index? The Cok is . (Enter your response rounded to two decimal places.)

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