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The lumen output was determined for each of / # 3 different brands of lightbulbs having the same wattage, with J = 7 bulbs of each brand tested. The sums of squares were computed as SSE = 4771 and SSTr = 593.7. You can use the Distribution Calculators page in SALT to find critical values and/or p-values to answer parts of this question. State the hypotheses of interest (including word definitions of parameters). O u = true average lumen output for brand / bulbs Ha: at least two u's are equal O ul = true average lumen output for brand / bulbs Ho: H1 - 12 - 13 H.: at least two u's are unequal O u, = sample average lumen output for brand / bulbs H: H1 F H 2 - H3 Ha: all three u's are equal O u, = sample average lumen output for brand / bulbs HO: H1 - H2 13 H : all three u'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 = What can be said about the P-value for the test? O P-value > 0.100 0.050