Squirt Inc. has decided to use a p-Chart with 2-sigma control limits to monitor the proportion of defective industrial belts produced by their production process. The quality control manager randomly samples 450 industrial belts at 16 successively selected time periods and counts the number of defective industrial belts in the sample.

Step 1: What is the Center Line of the control chart? Round your answer to three decimal places.

Step 2: What value of z should be used to construct the control chart?

Step 3: What is the Upper Control Limit? Round your answer to three decimal places.

Step 4:What is the Lower Control Limit? Round your answer to three decimal places.

Step 5: At the next time period, 450 industrial belts are sampled and 24 defective industrial belts are detected.

Step 6: At the next time period, 450 industrial belts are sampled and 32 defective industrial belts are detected.

Step 7: At the next time period, 450 industrial belts are sampled and 10 defective industrial belts are detected.

Step 8: You, acting as the quality control 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.

Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Detects 7 12 10 11 14 7 10 8 10 9 10 13 13 11 13 14