An experiment was carried out to investigate the effect

Chapter 11, Problem 1

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An experiment was carried out to investigate the effect ofspecies (factor A, with I 5 4) and grade (factor B, withJ 5 3) on breaking strength of wood specimens. Oneobservation was made for each speciesgrade combinationresultingin SSA 5 442.0, SSB 5 428.6, and SSE5 123.4. Assume that an additive model is appropriate.a. Test H0: a1 5 a2 5 a3 5 a4 5 0 (no differences intrue average strength due to species) versus Ha: atleast one ai 0 using a level .05 test.b. Test H0: b1 5 b2 5 b3 5 0 (no differences in trueaverage strength due to grade) versus Ha: at least onebj 0 using a level .05 test

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