Problem:
A production manager at Ultra Clean Dishwashing company is monitoring the quality of the company's production process. There has been concern relative to the quality of the operation to accurately fill the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 10.30. The company collected the following sample data on the production process:
Observations
|
Sample
|
1
|
2
|
3
|
4
|
|
1
|
16.40
|
16.11
|
15.90
|
15.78
|
|
2
|
15.97
|
16.10
|
16.20
|
15.81
|
|
3
|
15.91
|
16.00
|
16.04
|
15.92
|
|
4
|
16.20
|
16.21
|
15.93
|
15.95
|
|
5
|
15.87
|
16.21
|
16.34
|
16.43
|
|
6
|
15.43
|
15.49
|
15.55
|
15.92
|
|
7
|
16.43
|
16.21
|
15.99
|
16.00
|
|
8
|
15.50
|
15.92
|
16.12
|
16.02
|
|
9
|
16.13
|
16.21
|
16.05
|
16.01
|
|
10
|
15.68
|
16.43
|
16.20
|
15.97
|
(a) Develop X-bar and R-bar charts for this process using MS Excel.
(b) Is the process in control?