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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