William Industries has decided to use a p-Chart with 3-sigma control limits to monitor the proportion of defective bolts produced by their production process. The operations manager randomly samples 250 bolts at 14 successively selected time periods and counts the number of defective bolts in the sample. Step 1 of 8: What is the Center Line of the control chart? Round your answer to three decimal places. Step 2 of 8: What value of z should be used to construct the control chart?
Step 3 of 8: What is the Upper Control Limit? Round your answer to three decimal places.
Step 4 of 8: What is the Lower Control Limit? Round your answer to three decimal places.
Step 5 of 8: At the next time period, 150 metal shafts are sampled and 25 defective metal shafts are detected.
Step 6 of 8: At the next time period, 150 metal shafts are sampled and 12 defective metal shafts are detected.
Step 7 of 8: At the next time period, 150 metal shafts are sampled and 10 defective metal shafts are detected.
step 8 of 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.
defects, 10,8,8,12,7,14,10,12,10,8,9,9,12,12