In Problem 4.58 you met physics PhD student Laura Van Ertia who had conducted a single-factor experiment in her pursuit of the unified theory. She is at it again, and this time she has moved on to a two-factor factorial conducted as a completely randomized design. From her experiment, Laura has constructed the following incomplete ANOVA display:

Source SS DF MS F A 350.00 2 ? ?

B 300.00 ? 150 ?

AB 200.00 ? 50 ?

Error 150.00 18 Total 1000.00

(a) How many levels of factor B did she use in the experiment?

(b) How many degrees of freedom are associated with interaction?

(c) The error mean square is .

(d) The mean square for factor A is .

(e) How many replicates of the experiment were conducted?

(f) What are your conclusions about interaction and the two main effects?

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

(h) If this experiment had been run in blocks there would have been degrees of freedom for blocks.