In: Statistics and Probability
To determine if their 3.00 centimeter industrial belts are properly adjusted, Hutcheson & Gregory 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 | obs6 | Sample Mean | Sample Range |
1 | 3.04 | 3 | 2.99 | 3.04 | 2.97 | 3.05 | 3.015 | 0.08 |
2 | 3.01 | 3.01 | 2.98 | 2.97 | 3.01 | 3.04 | 3.0033 | 0.07 |
3 | 2.98 | 3.02 | 2.96 | 3 | 3.05 | 3.01 | 3.0033 | 0.09 |
4 | 3.02 | 2.98 | 3.04 | 2.96 | 3.04 | 2.98 | 3.0033 | 0.08 |
5 | 2.96 | 3.02 | 2.97 | 3.00 | 2.98 | 3.00 | 2.9883 | 0.06 |
6 | 3.02 | 3.04 | 3.04 | 2.99 | 2.96 | 2.99 | 3.0067 | 0.08 |
7 | 2.97 | 2.99 | 2.97 | 2.99 | 2.97 | 2.95 | 2.9733 | 0.04 |
8 | 3.03 | 2.97 | 3.04 | 2.96 | 2.96 | 2.95 | 2.985 | 0.09 |
9 | 3.00 | 3.03 | 2.95 | 2.98 | 2.96 | 2.95 | 2.9783 | 0.08 |
10 | 3.02 | 3.03 | 2.98 | 3.01 | 3.04 | 3.00 | 3.0133 | 0.06 |
Step 1 of 7 : What is the Center Line of the control chart? Round your answer to three decimal places.
Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places.