Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 11.1, Problem 1E
An experiment was carried out to investigate the effect of species (factor A, with I = 4) and grade (factor B, with J = 3) on breaking strength of wood specimens. One observation was made for each species—grade combination—resulting in SSA = 442.0, SSB = 428.6, and SSE = 123.4. Assume that an additive model is appropriate.
a. Test H0: α1 = α2 = α3 = α4 = 0 (no differences in true average strength due to species) versus Ha: at least one αi ≠ 0 using a level .05 test.
b. Test H0: β1 = β2 = β3 = 0 (no differences in true average strength due to grade) versus Ha: at least one βi ≠ 0 using a level .05 test.
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Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
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