Assignment:
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.
|
Sample
Number
|
|
Pounds to
Separate Pair
|
|
|
1
|
2
|
3
|
|
1
|
22
|
28
|
28
|
|
1
|
30
|
37
|
29
|
|
3
|
31
|
30
|
29
|
|
4
|
30
|
32
|
10
|
|
5
|
33
|
28
|
28
|
|
6
|
29
|
29
|
27
|
|
7
|
27
|
34
|
28
|
|
8
|
31
|
28
|
33
|
|
9
|
28
|
21
|
29
|
|
10
|
28
|
75
|
18
|
|
11
|
26
|
30
|
21
|
|
12
|
34
|
13
|
25
|
|
13
|
28
|
27
|
24
|
|
14
|
21
|
30
|
12
|
|
15
|
18
|
28
|
24
|
Provide complete and step by step solution for the question and show calculations and use formulas.