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The lumen output was determined for each of I = 3 different brands of lightbulbs having the same wattage, with J = 8 bulbs of each brand tested. The sums of squares were computed as SSE = 4774.8 and SSTr = 594.3. State the hypotheses of interest (including word definitions of parameters). O M; = true average lumen output for brand / bulbs Ho: M1 = M2 = M3 Ha: at least two uj's are unequal O M; = true average lumen output for brand / bulbs Ho: M1 * M2 # M3 Ha: at least two mi's are equal O M; = sample average lumen output for brand / bulbs Ho: M1 # M2 # M3 Ha: all three uj's are equal O Mi = sample average lumen output for brand / bulbs Ho: M1 = M2 = M3 Ha: all three Mi's are unequal Use the F test of ANOVA (a = 0.05) 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. (Round your answer to two decimal places.) f =