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Aspen plastics produces plastic bottles

18/11/2020 Client: papadok01 Deadline: 3 days

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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