HCH Manufacturing has decided to use a p-Chart with 2-sigma control limits to monitor the proportion of defective steel bars produced by their production process. The quality control manager randomly samples 250 steel bars at 12 successively selected time periods and counts the number of defective steel bars in the sample.

Sample Defects 1 7 2 10 3 14 4 8 5 9 6 11 7 9 8 9 9 14 10 11 11 7 12 8

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, 250 steel bars are sampled and 8 defective steel bars are detected.

Step 6 of 8:At the next time period, 250 steel bars are sampled and 28 defective steel bars are detected.

Step 7 of 8:At the next time period, 250 steel bars are sampled and 22 defective steel bars 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.

This is a timed test thank you for your help! :)