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 6 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
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.