Problem 1

Correct.

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 ± 0.30. The company collected the following sample data on the production process:
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

Which of the following pairs of statements is true?

The process mean is in control.
The process is not capable of meeting the design standard.
The process mean is not in control.
The process is not capable of meeting the design standard.
The process mean is in control.
The process is capable of meeting the design standard.
The process mean is not in control.
The process is capable of meeting the design standard.

Problem 2
The Awake Coffee Company produces gourmet instant coffee. The company wants to be sure that the average fill of coffee containers is 12.0 ounces. To make sure the process is in control, a worker periodically selects at random a box of six containers of coffee and measures their weight. When the process is in control, the range of the weight of coffee samples averages 0.6 ounces. Develop an R-chart and an -chart for this process and answer the questions.
The measurements of weight from the last five samples taken of the six containers follow:
Sample x R
1 12.1 0.7
2 11.8 0.4
3 12.3 0.6
4 11.5 0.4
5 11.6 0.9
Correct.