The C. F. Eye Care company manufactures lenses for transplantation into the eye following cataract surgery. An engineering group has conducted an experiment involving two factors to determine their effect on the lens polishing process.

The results of this experiment are summarized in the following ANOVA display:

Source DF SS MS F P-Value Factor A ? ? 0.0833 0.05 0.952 Factor B ? 96.333 96.3333 57.80 <0.001 Interaction 2 12.167 6.0833 3.65 ?

Error 6 10.000 ? ?

Total 11 118.667 Answer the following questions about this experiment.

(a) The sum of squares for factor A is .

(b) The number of degrees of freedom for factor A in the experiment is .

(c) The number of degrees of freedom for factor B is .

(d) The mean square for error is .

(e) An upper bound for the P-value for the interaction test statistic is .

(f) The engineers used levels of the factor A in this experiment.

(g) The engineers used levels of the factor B in this experiment.

(h) There are replicates of this experiment.

(i) Would you conclude that the effect of factor B depends on the level of factor A?

Yes No

(j) An estimate of the standard deviation of the response variable is .