Question

To determine if their 2.00 inch washers are properly adjusted, Duncan & Hall Inc. has decided...

To determine if their 2.00 inch washers are properly adjusted, Duncan & Hall Inc. has decided to use an x‾-Chart which uses the range to estimate the variability in the sample.

Table:

Period

obs1

obs2

obs3

obs4

obs5

Sample Mean

Sample Range

1

1.96

2.05

1.97

1.97

2

1.99

0.09

2

2

2.05

1.95

2

2.05

2.01

0.1

3

2.04

1.96

1.96

1.97

1.96

1.978

0.08

4

1.97

2

1.98

1.99

1.99

1.986

0.03

5

1.97

2.05

1.98

2.04

2.05

2.018

0.08

6

2.03

2.05

2.01

1.96

1.96

2.002

0.09

7

2.02

1.98

2.03

1.96

2.01

2

0.07

8

1.99

1.99

2.01

1.98

1.97

1.988

0.04

9

2

2.03

1.99

1.95

1.97

1.988

0.08

10

1.95

1.99

1.98

1.96

2

1.976

0.05

11

2.03

1.98

1.96

2.02

2.04

2.006

0.08

Step 7 of 7:

Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places.

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