A consumer research firm wants to compare three brands of radial tires (X, Y, and Z) in terms of tread life over different road surfaces. Random samples of four tires of each brand are selected for each of three surfaces (asphalt, concrete, gravel). A machine that can simulate road conditions for each of the road surfaces is used to find the tread life (in thousands of miles) of each tire. Construct an ANOVA table and conduct F-tests for the presence of nonzero brand effects, road surface effects, and interaction effects. a = 1%. Surface Brand Y Asphalt 36. 39. 39. 38 42.40.39.42 32.36. 35. 34 Concrete 38. 40. 41. 40 42.45.48. 47 37.33.33.34 Gravel 34. 32, 34.35 34. 34.30, 31 36. 35.35.33

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A consumer research firm wants to compare three brands of radial tires (X, Y, and Z) in terms
of tread life over different road surfaces. Random samples of four tires of each brand are
selected for each of three surfaces (asphalt, concrete, gravel). A machine that can simulate
road conditions for each of the road surfaces is used to find the tread life (in thousands of
miles) of each tire. Construct an ANOVA table and conduct F-tests for the presence of nonzero
brand effects, road surface effects, and interaction effects. a = 1%.
Surface Brand
Y
Asphalt
36. 39. 39. 38
42.40.39.42
32.36. 35. 34
Concrete
38.40.41. 40
42.45.48. 47
37.33.33.34
Gravel
34.32, 34.35
34.34. 30, 31
36. 35.35.33
Transcribed Image Text:A consumer research firm wants to compare three brands of radial tires (X, Y, and Z) in terms of tread life over different road surfaces. Random samples of four tires of each brand are selected for each of three surfaces (asphalt, concrete, gravel). A machine that can simulate road conditions for each of the road surfaces is used to find the tread life (in thousands of miles) of each tire. Construct an ANOVA table and conduct F-tests for the presence of nonzero brand effects, road surface effects, and interaction effects. a = 1%. Surface Brand Y Asphalt 36. 39. 39. 38 42.40.39.42 32.36. 35. 34 Concrete 38.40.41. 40 42.45.48. 47 37.33.33.34 Gravel 34.32, 34.35 34.34. 30, 31 36. 35.35.33
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