Sandler Inc. has decided to use an R-Chart to monitor the changes in the variability of their 0.33 inch steel bars. The operations manager randomly samples 9 steel bars and measures the diameter of the sample (in inches) at 12 successive time periods. 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: 0.37,0.32,0.37,0.44,0.3,0.31,0.29,0.35,0.32  
Sample Range: 0.15 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: 0.37,0.33,0.3,0.37,0.38,0.36,0.35,0.33,0.33  
Sample Range: 0.08 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: 0.3,0.31,0.36,0.32,0.3,0.3,0.46,0.38,0.34  
Sample Range: 0.16 Step 7 of 7: You, acting as the operations manager, have concluded that the process is "Out of Control". What is the probability that the process is really "In Control" and you have made a Type I Error? Round your answer to three decimal places.