Assume that items produced are supposed to be normally distributed with mean 35 and standard deviation 3. To monitor this process, subgroups of size 5 are sampled. If the following represents the averages of the first 20 subgroups, does it appear that the process was in control?
|
|
|
|
|
Subgroup No.
|
X
|
Subgroup No.
|
X
|
1
|
34.0
|
6
|
32.2
|
|
2
|
31.6
|
7
|
33.0
|
|
3
|
30.8
|
8
|
32.6
|
|
4
|
33.0
|
9
|
33.8
|
|
5
|
35.0
|
10
|
35.8
|
|
Subgroup No.
|
X
|
Subgroup No.
|
X
|
11
|
35.8
|
16
|
31.6
|
12
|
35.8
|
17
|
33.0
|
13
|
34.0
|
18
|
33.2
|
14
|
35.0
|
19
|
31.8
|
15
|
33.8
|
20
|
35.6
|