To determine if their1.33inchmetal shafts are properly adjusted,Thompson Industries has decided to use anx-Chart which uses the range to estimate the variability in the sample.

Period	obs1	obs2	obs3	obs4	obs5	obs6	Sample Mean	Sample Range
1	1.3	1.38	1.37	1.3	1.34	1.36	1.3417	0.08
2	1.29	1.33	1.33	1.38	1.3	1.31	1.3233	0.09
3	1.29	1.3	1.33	1.32	1.35	1.38	1.3283	0.09
4	1.33	1.31	1.32	1.35	1.31	1.32	1.3233	0.04
5	1.33	1.29	1.38	1.37	1.35	1.36	1.3467	0.09
6	1.35	1.33	1.34	1.37	1.36	1.3	1.3417	0.07
7	1.36	1.32	1.38	1.34	1.37	1.29	1.3433	0.09
8	1.32	1.36	1.36	1.3	1.37	1.31	1.3367	0.07
9	1.35	1.37	1.34	1.32	1.31	1.29	1.33	0.08
10	1.36	1.37	1.35	1.34	1.33	1.37	1.3533	0.04
11	1.32	1.3	1.35	1.36	1.37	1.31	1.335	0.07
12	1.3	1.37	1.35	1.34	1.32	1.3	1.33	0.07
13	1.3	1.3	1.32	1.32	1.35	1.3	1.315	0.05
14	1.31	1.38	1.36	1.37	1.36	1.36	1.3567	0.07
15	1.35	1.38	1.35	1.35	1.3	1.35	1.3467	0.08

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.

Step 3 of 7:

What is the Lower Control Limit? Round your answer to three decimal places.

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: 1.42,1.42,1.39,1.43,1.41,1.391.42,1.42,1.39,1.43,1.41,1.39 Sample Mean: 1.41

Step 5 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: 1.4,1.42,1.31,1.42,1.39,1.381.4,1.42,1.31,1.42,1.39,1.38 Sample Mean: 1.3867

Step 6 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: 1.32,1.29,1.33,1.29,1.3,1.311.32,1.29,1.33,1.29,1.3,1.31 Sample Mean: 1.3067

Step 7 of 7:

Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places.