A company produces bond paper, and at regular intervals, samples of 50 sheets of paper are inspected for size. The factory does not have an infrared or laser scanning device on the manufacturing process, which makes it difficult for the company to test the size of the overall production batch of paper automatically; therefore, sampling has to be performed.
Suppose 20 random samples of 50 sheets of paper each are taken during a certain period of time, with the following numbers of sheets in compliance per sample.
Construct the appropriate control chart for the set of data.
|
Sample
|
Out of Compliance
|
|
1
|
4
|
|
2
|
3
|
|
3
|
1
|
|
4
|
0
|
|
5
|
5
|
|
6
|
2
|
|
7
|
3
|
|
8
|
1
|
|
9
|
4
|
|
10
|
2
|
|
11
|
2
|
|
12
|
6
|
|
13
|
0
|
|
14
|
2
|
|
15
|
1
|
|
16
|
6
|
|
17
|
2
|
|
18
|
3
|
|
19
|
1
|
|
20
|
5
|
What type of control chart did you build? Why?
What are the control limits for the chart you built?
Are any of the samples out of control?
What are your recommendations based on your findings?