An adhesives manufacturer periodically selects a sample of its product and glues 6 toothpicks together, in pairs. A measurement is then made of the number of pounds required to separate the toothpicks. The following data represent 15 samples, each consisting of 3 pairs of toothpicks, and the number of pounds required to separate each pair. Given these measurements, use one or more appropriate 3-sigma control charts in evaluating whether the process is in control.
|
5
|
15
|
25
|
12
|
Sample
|
Pound
|
s to Separate Pair
|
|
6
|
8
|
26
|
9
|
Number
|
1
|
2
|
3
|
|
7
|
14
|
27
|
12
|
|
|
|
|
|
8
|
13
|
28
|
16
|
1
|
28
|
24
|
27
|
|
9
|
10
|
29
|
12
|
2
|
29
|
27
|
27
|
|
10
|
12
|
30
|
11
|
3
|
27
|
26
|
28
|
|
11
|
7
|
31
|
11
|
4
|
28
|
31
|
30
|
|
12
|
12
|
32
|
9
|
5
|
31
|
25
|
25
|
|
13
|
12
|
33
|
7
|
6
|
22
|
27
|
29
|
|
14
|
14
|
34
|
12
|
7
|
30
|
27
|
26
|
|
15
|
8
|
35
|
8
|
8
|
29
|
25
|
28
|
|
16
|
9
|
36
|
8
|
9
|
28
|
29
|
34
|
|
17
|
7
|
37
|
12
|
10
|
32
|
28
|
32
|
|
18
|
8
|
38
|
9
|
11
|
26
|
25
|
28
|
|
19
|
10
|
39
|
6
|
12
|
22
|
27
|
29
|
|
20
|
12
|
40
|
11
|
13
|
26
|
28
|
34
|