The observations shown in the accompanying table were drawn from a random ized block design with no interaction.

Factor B Factor A 1 2 3 1 5 15 12 10.6 2 2 10 8 6.7 3 0 −9 −2 −3.7 4 −3 −14 −8 −8.3 1.0 0.5 2.5

a. Calculate SST, SSA, SSB, and SSE.

b. Calculate MSA, MSB, and MSE.

c. Construct an ANOVA table.

d. At a 1% significance level, can you conclude th at the column means differ?

e. At a 1% significance level, can you conclude th at the row means differ?That is, is blocking necessary?

P-69