Chapter 6:

2. A quality control inspector at the Beautiful Shampoo Company has taken three samples with four observations each of the volume of shampoo bottles filled. The data collected by the inspector and the computed means are shown here:

Samples of Shampoo	Bottle Volume	In	Ounces
Observation	1	2	3
1	18.7	19.2	18.9
2	20.4	20.1	18.3
3	18.6	18.6	20.6
4	20.4	20.5	20.0
Mean	19.53	19.60	19.45

If the standard deviation of the shampoo bottle-filling operation is 0.2 ounce, use the information in the table to develop control limits of 3 standard deviations for the operation

4. A production manager at Ultra Clean Dishwashing Company is monitoring the quality of the companys production process. There has been concern relative to the quality of the operation in accurately filling the 16 ounces of dishwashing liquid. The product is designed for a fill level of 16.00 0.30. The company collected the following sample data on the production process:

Observations
Sample	1	2	3	4
1	16.41	16.10	15.85	15.76
2	15.95	16.10	16.10	15.81
3	15.90	16.00	16.004	15.90
4	16.10	16.21	15.5	15.95
5	15.80	16.25	16.34	16.41
6	15.40	15.49	15.70	15.92
7	16.33	16.21	15.99	16.00
8	15.50	15.90	16.10	16.03
9	16.15	16.21	16.05	16.00
10	15.80	16.43	16.50	15.97

Are the process mean and range in statistical control?

Do you think this process is capable of meeting the design standard?