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Example 4.13 To measure air pollution in a home, let X and Y equal the amount of suspended particulate matter (in ug/m³) measured during a 24 hour period in a home in which there is no smoker and a home which there is a smoker, respectively. Assume that the distributions of X and Y are N(H,,64)and N(y,36), respectively. We want to test whether there is a higher amount of suspended particulate matter in a home with smokers than without smokers. If a random sample of size 9 yielded x = 93anc Sx=12.4 while a random sample of size 11 yielded y = 130and sy=7.2, test at 5%. %3D 又 93 12-4 130 구.2 %3D

Example 4.13 To measure air pollution in a home, let X and Y equal the amount of suspended particulate matter (in ug/m³) measured during a 24 hour period in a home in which there is no smoker and a home which there is a smoker, respectively. Assume that the distributions of X and Y are N(H,,64)and N(y,36), respectively. We want to test whether there is a higher amount of suspended particulate matter in a home with smokers than without smokers. If a random sample of size 9 yielded x = 93anc Sx=12.4 while a random sample of size 11 yielded y = 130and sy=7.2, test at 5%. %3D 又 93 12-4 130 구.2 %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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но. u1 - 12 < 0 or ui - 12> 0 u1-u2 0 H1: 4.5.1 Population Variances Known, o?, o? Populations are normal The samples are independent of each other Assumptions: (X1x-x-2)-D The tests statistics: Z = (4) n2. Example 4.13 To measure air pollution in a home, let X and Y equal the amount of suspended particulate matter (in µg/m³) measured during a 24 hour period in a home in which there is no smoker and a home which there is a smoker, respectively. Assume that the distributions of X and Y are N(u,64)and N(uy,36), respectively. We want to test whether there is a higher amount of suspended particulate matter in a home with smokers than without smokers. If a random sample of size 9 yielded x = 93and Sx=12.4 while a random sample of size 11 yielded y = 130and sy=7.2, test at 5%. 又 93 12-4 9. 130 구-2 %3D
Transcribed Image Text:но. u1 - 12 < 0 or ui - 12> 0 u1-u2 0 H1: 4.5.1 Population Variances Known, o?, o? Populations are normal The samples are independent of each other Assumptions: (X1x-x-2)-D The tests statistics: Z = (4) n2. Example 4.13 To measure air pollution in a home, let X and Y equal the amount of suspended particulate matter (in µg/m³) measured during a 24 hour period in a home in which there is no smoker and a home which there is a smoker, respectively. Assume that the distributions of X and Y are N(u,64)and N(uy,36), respectively. We want to test whether there is a higher amount of suspended particulate matter in a home with smokers than without smokers. If a random sample of size 9 yielded x = 93and Sx=12.4 while a random sample of size 11 yielded y = 130and sy=7.2, test at 5%. 又 93 12-4 9. 130 구-2 %3D
ne that to test e with эзаnd Populations are normal or small samples Standard deviations o1 and o2 are not known but the standard deviations are assumed to be different. Assumptions: (X1-X2)-D t = (三4) The tests statistics: n1 n2 (s /n, + s/n,) (s; /n,) (s/n,) n2 -1 where df n,-1 94
Transcribed Image Text:ne that to test e with эзаnd Populations are normal or small samples Standard deviations o1 and o2 are not known but the standard deviations are assumed to be different. Assumptions: (X1-X2)-D t = (三4) The tests statistics: n1 n2 (s /n, + s/n,) (s; /n,) (s/n,) n2 -1 where df n,-1 94
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