To determine if their 13oz filling machine is properly adjusted, Harper Soft Drinks has decided to use an x‾-Chart which uses the range to estimate the variability in the sample.
Period obs1 obs2 obs3 obs4 obs5 Sample Mean Sample Range
1 13.03 13.05 13.02 12.95 13.03 13.0160 0.10
2 12.98 13.00 13.00 13.03 12.98 12.9980 0.05
3 12.96 12.98 13.00 12.96 12.97 12.9740 0.04
4 13.03 13.03 12.99 13.02 12.98 13.0100 0.05
5 12.96 13.04 13.03 12.98 12.95 12.9920 0.09
6 12.98 13.02 13.05 12.98 13.05 13.0160 0.07
7 12.96 13.04 12.97 12.96 13.03 12.9920 0.08
8 13.04 12.97 13.00 13.01 13.03 13.0100 0.07
9 13.00 12.95 13.00 12.98 13.04 12.9940 0.09
10 13.01 13.02 13.04 13.00 12.99 13.0120 0.05
11 12.98 12.99 13.05 12.99 13.00 13.0020 0.07
12 12.98 12.98 13.03 13.05 13.05 13.0180 0.07
13 13.03 13.01 12.99 12.96 13.01 13.0000 0.07
14 13.03 12.99 13.03 13.01 12.96 13.0040 0.07
15 13.04 13.00 12.96 12.98 12.98 12.9920 0.08
16 12.97 13.04 13.00 12.95 12.98 12.9880 0.09
17 12.99 12.97 13.02 12.98 12.99 12.9900 0.05
What is the Center Line of the control chart? Round your answer to three decimal places.
