Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 11.12, Problem 74E
An experiment was conducted to investigate the effect of four factors—temperature T1, pressure P, catalyst C, and temperature T2—on the yield Y of a chemical.
- a The values (or levels) of the four factors used in the experiment are shown in the accompanying table. If each of the four factors is coded to produce the four variables x1, x2, x3, and x4, respectively, give the transformation relating each coded variable to its corresponding original.
- b Fit the linear model
Y = β0 + β1x1 + β2x2 + β3x3 + β4x4 + ε
to the following table of data.
- c Do the data present sufficient evidence to indicate that T1 contributes information for the estimation of Y? Does P? Does C? Does T2? (Test the hypotheses, respectively, that β1 = 0, β2 = 0, β3 = 0, and β4 = 0.) Give bounds for the p-value associated with each test. What would you conclude if you used α = .01 in each case?
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Chapter 11 Solutions
Mathematical Statistics with Applications
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