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------------------------------------------------ William Manufacturers has decided to use a c-Chart to monitor the number of defects per minivan produced by their manufacturing process. The c-Chart should be constructed with an alpha risk of 9%. The operations manager randomly samples one minivan at six successively selected time periods and counts the number of defects in the minivan.

Sample Defects:
1: 12
2: 6
3: 7
4: 15
5: 14
6: 7

Steps:

**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:**
At the next time period, 20 defects were detected on the randomly selected minivan. Determine if the process is "In Control" or "Out of Control".

**Step 5 of 7:**
At the next time period, 17 defects were detected on the randomly selected minivan. Determine if the process is "In Control" or "Out of Control".

**Step 6 of 7:**
At the next time period, 7 defects were detected on the randomly selected minivan. Determine if the process is "In Control" or "Out of Control".

**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.