Note: In chapter 9, section 9.4 of the Stevenson text, the costs of quality are covered; chapter 9 Stevenson lecture power point slide 7 touches upon this topic; see lecture video, 3.55 mins to 4.54 mins. 2) The production process at Hansa Ceylon Coffee fills boxes with dark arabica coffee. The data for the fill weight (in ounces) of eight samples are presented below. A sample size of six was used. The firm’s operations analyst wants to construct X-bar and R-charts to monitor the filling process. Sample Sample Mean Sample Range 1 15.80 0.42 2 16.10 0.38 3 16.02 0.08 4 15.95 0.15 5 16.12 0.42 6 16.18 0.23 7 15.87 0.36 8 16.20 0.40 a) Calculate the upper and lower control limits for the X-bar chart. b) Calculate the upper and lower control limits for the R chart. c) Is the process under control? Why or why not? Note: In chapter 10, section 10.3 of the Stevenson text, control charts for variables are covered with examples; chapter 10 Stevenson lecture power point slides 12 to 28 cover X-bar and R charts with an example; see lecture video, 5.28 mins to 19.39 mins. 3) Medical Mechanica produces drive shafts for their laboratory cyclomixer that have a target length of 6.0 centimeters, with upper and lower specification limits of 6.1 and 5.9 centimeters respectively; the standard deviation of the process is 0.04 centimeters. a) Calculate the Cp for this process b) Calculate the Cpkfor this process. c) Is this process under control? Why or why not?
Note: In chapter 9, section 9.4 of the Stevenson text, the costs of quality are covered; chapter 9 Stevenson lecture power point slide 7 touches upon this topic; see lecture video, 3.55 mins to 4.54 mins.
2) The production process at Hansa Ceylon Coffee fills boxes with dark arabica coffee. The data for the fill weight (in ounces) of eight samples are presented below. A sample size of six was used. The firm’s operations analyst wants to construct X-bar and R-charts to monitor the filling process.
|
Sample |
Sample Mean |
Sample Range |
|
1 |
15.80 |
0.42 |
|
2 |
16.10 |
0.38 |
|
3 |
16.02 |
0.08 |
|
4 |
15.95 |
0.15 |
|
5 |
16.12 |
0.42 |
|
6 |
16.18 |
0.23 |
|
7 |
15.87 |
0.36 |
|
8 |
16.20 |
0.40 |
- a) Calculate the upper and lower control limits for the X-bar chart.
- b) Calculate the upper and lower control limits for the R chart.
- c) Is the process under control? Why or why not?
Note: In chapter 10, section 10.3 of the Stevenson text, control charts for variables are covered with examples; chapter 10 Stevenson lecture power point slides 12 to 28 cover X-bar and R charts with an example; see lecture video, 5.28 mins to 19.39 mins.
3) Medical Mechanica produces drive shafts for their laboratory cyclomixer that have a target length of 6.0 centimeters, with upper and lower specification limits of 6.1 and 5.9 centimeters respectively; the standard deviation of the process is 0.04 centimeters.
- a) Calculate the Cp for this process
- b) Calculate the Cpkfor this process.
- c) Is this process under control? Why or why not?
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