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 3 4 1 0.624 0.586 0.602 0.591 2 0.613 0.599 0.578 0.618 3 0.606 0.585 0.587 0.623 4 0.581 0.623 0.571 0.610 5 0.609 0.610 0.623 0.617 6 0.605 0.573 0.570 0.602 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 0.014 in. a. What is the process capability index? The Cpk is (Enter your response rounded to two decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
Problem 11P
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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
3
4
1
0.624
0.586
0.602
0.591
2
0.613
0.599
0.578
0.618
3
0.606
0.585
0.587
0.623
4
0.581
0.623
0.571
0.610
5
0.609
0.610
0.623
0.617
6
0.605
0.573
0.570
0.602
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 0.014 in.
a. What is the process capability index?
The Cpk is
(Enter your response rounded to two decimal places.)
Transcribed Image Text: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 3 4 1 0.624 0.586 0.602 0.591 2 0.613 0.599 0.578 0.618 3 0.606 0.585 0.587 0.623 4 0.581 0.623 0.571 0.610 5 0.609 0.610 0.623 0.617 6 0.605 0.573 0.570 0.602 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 0.014 in. a. What is the process capability index? The Cpk is (Enter your response rounded to two decimal places.)
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