Four lighting methods were used in each of three rooms. For each method and each room, the illuminance (in lux) was measured in three separate occasions, resulting in three replications of the experiment. The only effect of interest is the lighting type; the room is a blocking factor. The following sums of squares were calculated: sum of squares for blocks = 11432, sum of squares for treatments = 9943, sum of squares for interactions = 6135, total sum of squares = 51376.
a. Construct an ANOVA table. You may give ranges for the P-values.
b. Are the assumptions for a randomized complete block design satisfied? Explain.
c. Does the ANOVA table provide evidence that lighting type affects illuminance? Explain.