In: Statistics and Probability
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 4 of 7:
Use the following sample data, taken from the next time period,
to determine if the process is "In Control" or "Out of
Control".
Observations: 2.07,2.08,2.07,2.08,2.05
Sample Mean: 2.07