Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
9th Edition
ISBN: 9781305764477
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 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
  1. 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.
  2. 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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Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland

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