Question

The J H group Manufacturing has decided to use a p-Chart to monitor the proportion of defective washers produced by their production process. The control limits on these charts will be designed to include 97% of the sample proportions when the process is In Control. The quality control manager randomly samples 300 washers at 14 successively selected time periods and counts the number of defective washers in the sample.

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

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 is the z-value associated with the level of significance stated in the problem? Round your answer to two decimal places.

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, 300 washers are sampled and 11 defective washers are detected.

( In Control or Out of Control)

Step 6 of 8:

At the next time period, 300 washers are sampled and 32 defective washers are detected.

( In Control or Out of Control)

Step 7 of 8:

At the next time period, 300 washers are sampled and 8 defective washers are detected.

( In Control or Out of Control)

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.

Answer 1