Question

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 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places.

Answer 1

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
					total	21.942	0.79
					average	1.995	0.072

Step 1 of 7: from above: Center Line of the control chart =Xbar=1.995

( please revert if there are other parts of this)