Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 15.1, Problem 7E
Use the large-sample version of the Wilcoxon test at significance level .05 on the data of Exercise 37 in Section 9.3 to decide whether the true
37. Hexavalent chromium has been identified as an inhalation carcinogen and an air toxin of concern in a number of different locales. The article “Airborne Hexavalent Chromium in Southwestern Ontario” (J. of Air and Waste Mgmnt. Assoc., 1997: 905–910) gave the accompanying data on both indoor and outdoor concentration (nanograms/m3) for a sample of houses selected from a certain region.
| House | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| Indoor | .07 | .08 | .09 | .12 | .12 | .12 | .13 | .14 | .15 |
| Outdoor | .29 | .68 | .47 | .54 | .97 | .35 | .49 | .84 | .86 |
| House | ||||||||
| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
| Indoor | .15 | .17 | .17 | .18 | .18 | .18 | .18 | .19 |
| Outdoor | .28 | .32 | .32 | 1.55 | .66 | .29 | .21 | 1.02 |
| House | ||||||||
| 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | |
| Indoor | .20 | .22 | .22 | .23 | .23 | .25 | .26 | 28 |
| Outdoor | 1.59 | .90 | .52 | .12 | .54 | .88 | .49 | 1.24 |
| House | ||||||||
| 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | |
| Indoor | .28 | .29 | .34 | .39 | .40 | .45 | .54 | .62 |
| Outdoor | .48 | .27 | .37 | 1.26 | .70 | .76 | .99 | .36 |
- a. Calculate a confidence interval for the population mean difference between indoor and outdoor concentrations using a confidence level of 95%, and interpret the resulting interval.
- b. If a 34th house were to be randomly selected from the population, between what values would you predict the difference in concentrations to lie?
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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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