Show transcribed image text 2. 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 Ho : ai = a2 = a3 = a4 = 0 (no differences in true average strength due to species) versus H1 : at least one ai 40 using a level .05 test. (b) Test H, : B1 = B2 = B3 = 0 (no differences in true average strength due to grade) versus H: at least one B; †0 using a level .05 test.
2. 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 Ho : ai = a2 = a3 = a4 = 0 (no differences in true average strength due to species) versus H1 : at least one ai 40 using a level .05 test. (b) Test H, : B1 = B2 = B3 = 0 (no differences in true average strength due to grade) versus H: at least one B; †0 using a level .05 test.
