Solve the below problem:
Q: Ten samples have been collected from a production process shown in the table below.
| Sample # |
Observations |
|
| 1 |
9, 11 |
|
| 2 |
11, 13 |
|
| 3 |
10, 12 |
|
| 4 |
8, 11 |
|
| 5 |
14, 14 |
|
| 6 |
12, 14 |
|
| 7 |
12, 12 |
|
| 8 |
9, 12 |
|
| 9 |
8, 8 |
|
| 10 |
7, 8 |
|
Assume that the true mean of this process is known to equal 10.5, but the standard deviation is unknown. Select proper control charts and find control limits for these charts. Does the process appear to be in control?