2. The lumen output was determined for each of I  3 different brands of 60-watt soft-white lightbulbs, with J  8 bulbs of each brand tested. The sums of squares were computed as SSE  4773.3 and SSTr  591.2. State the hypotheses of interest (including word de nitions of parameters), and use the F test of ANOVA (a  .05) to decide whether there are any differences in true average lumen outputs among the three brands for this type of bulb by obtaining as much information as possible about the P-value.