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In: Statistics and Probability

To determine if their 3.00 centimeter industrial belts are properly adjusted, Hutcheson & Gregory Inc. has...

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.

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