Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 12.1, Problem 1E
The efficiency ratio for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft2). The article “Statistical Process Control of a Phosphate Coating Line” (Wire J. Intl., May 1997: 78–81) gave the accompanying data on tank temperature (x) and efficiency ratio (y).
| Temp. | 170 | 172 | 173 | 174 | 174 | 175 | 176 |
| Ratio | .84 | 1.31 | 1.42 | 1.03 | 1.07 | 1.08 | 1.04 |
| Temp. | 177 | 180 | 180 | 180 | 180 | 180 | 181 |
| Ratio | 11.80 | 1.45 | 1.60 | 1.61 | 2.13 | 2.15 | .84 |
| Temp. | 181 | 182 | 182 | 182 | 182 | 184 | 184 |
| Ratio | 11.43 | .90 | 1.81 | 1.94 | 2.68 | 1.49 | 2.52 |
| Temp. | 185 | 186 | 188 |
| Ratio | 13.00 | 1.87 | 3.08 |
- a. Construct stem-and-leaf displays of both temperature and efficiency ratio, and comment on interesting features.
- b. Is the value of efficiency ratio completely and uniquely determined by tank temperature? Explain your reasoning.
- c. Construct a
scatterplot of the data. Does it appear that efficiency ratio could be very well predicted by the value of temperature? Explain your reasoning.
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Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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