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 15.1, Problem 6E
Reconsider the situation described in Exercise 39 of Section 9.3, and use the Wilcoxon test to test the appropriate hypotheses.
39. Scientists and engineers frequently wish to compare two different techniques for measuring or determining the value of a variable. In such situations, interest centers on testing whether the mean difference in measurements is zero. The article “Evaluation of the Deuterium Dilution Technique Against the Test Weighing Procedure for the Determination of Breast Milk Intake” (Amer. J. of Clinical Nutr., 1983: 996–1003) reports the accompanying data on amount of milk ingested by each of 14 randomly selected infants.
| Infant | |||||
| 1 | 2 | 3 | 4 | 5 | |
| DD method | 1509 | 1418 | 1561 | 1556 | 2169 |
| TO method | 1498 | 1254 | 1336 | 1565 | 2000 |
| Difference | 11 | 164 | 225 | −9 | 169 |
| Infant | |||||
| 6 | 7 | 8 | 9 | 10 | |
| DD method | 1760 | 1098 | 1198 | 1479 | 1281 |
| TO method | 1318 | 1410 | 1129 | 1342 | 1124 |
| Difference | 442 | −312 | 69 | 137 | 157 |
| Infant | ||||
| 11 | 12 | 13 | 14 | |
| DD method | 1414 | 1954 | 2174 | 2058 |
| TO method | 1468 | 1604 | 1722 | 1518 |
| Difference | −54 | 350 | 452 | 540 |
- a. Is it plausible that the population distribution of differences is normal?
- b. Does it appear that the true average difference between intake values measured by the two methods is something other than zero? Determine the P-value of the test, and use it to reach a conclusion at significance level .05.
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Chapter 15 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Here again is the data on expense ratio (%) for a...Ch. 15.1 - The accompanying data is a subset of the data...Ch. 15.1 - A random sample of 15 automobile mechanics...Ch. 15.1 - Both a gravimetric and a spectrophotometric method...Ch. 15.1 - Reconsider the situation described in Exercise 39...Ch. 15.1 - Use the large-sample version of the Wilcoxon test...Ch. 15.1 - Reconsider the port alcohol content data from...Ch. 15.1 - Prob. 9ECh. 15.2 - Prob. 10E
Ch. 15.2 - Prob. 11ECh. 15.2 - The article A Study of Wood Stove Particulate...Ch. 15.2 - The urinary fluoride concentration (parts per...Ch. 15.2 - Prob. 14ECh. 15.2 - The article Measuring the Exposure of Infants to...Ch. 15.2 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Compute the 99% signed-rank interval for true...Ch. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Compute a 99% CI for 1 2 using the data in...Ch. 15.4 - The accompanying data refers to concentration of...Ch. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - In an experiment to study the way in which...Ch. 15 - The article Effects of a Rice-Rich Versus...Ch. 15 - Prob. 29SECh. 15 - The given data on phosphorus concentration in...Ch. 15 - Prob. 31SECh. 15 - Prob. 32SECh. 15 - The sign test is a very simple procedure for...Ch. 15 - Prob. 34SECh. 15 - Prob. 35SECh. 15 - Prob. 36SE
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