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WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
9th Edition
ISBN: 9780357893104
Author: Devore; Jay L.
Publisher: Cengage Learning US
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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 mean difference between outdoor and indoor concentrations exceeds .20.
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
WebAssign for Devore's Probability and Statistics for Engineering and the Sciences, 9th Edition [Instant Access], Single-Term
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