To determine if their1.33 inch copper wires are properly adjusted, Riggs & Keeler Manufacturing has decided to use anx Chart which uses the range to estimate the variability in the sample.

ob1 ob2 ob3 ob4 mean range

1.29 1.37 1.35 1.29 1.3250 0.08

1.33 1.36 1.38 1.35 1.3550 0.05

1.35 1.33 1.37 1.33 1.3450 0.04

1.34 1.32 1.32 1.37 1.3375 0.05

1.33 1.32 1.36 1.34 1.3375 0.04

1.30 1.34 1.31 1.32 1.3175 0.04

1.32 1.31 1.34 1.38 1.3375 0.07

1.36 1.35 1.37 1.33 1.3525 0.04

1.33 1.31 1.33 1.29 1.3150 0.04

1.37 1.34 1.29 1.36 1.3400 0.08

1.37 1.34 1.32 1.32 1.3375 0.05

1.35 1.29 1.38 1.29 1.3275 0.09

1.37 1.38 1.36 1.34 1.3625 0.04

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:1.42,1.41,1.34,1.43

Sample Mean:1.4

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:1.36,1.29,1.35,1.33

Sample Mean:1.3325

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:1.4,1.41,1.36,1.42

Sample Mean:1.3975

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.