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The lumen output was determined fer each of -3 different brands of lightbulbs ha

ID: 3047004 • Letter: T

Question

The lumen output was determined fer each of -3 different brands of lightbulbs having the same wactage, with -7 bubs of each brand tested. The sums of squares were computed as SSE 4770 and SSTr-593.5. State the hypotheses of interes (including word definitions of parameters). 0 ,-sample average lumen output for brand i bulbs H,i al three s are unequal 0 .-true overage lumen output for brand i bulbs Hai at least two 's are equal O averaeumen output for brand bulbs : aatwo ys are unequal 0 ,-sample average lumen output for brand bulbs Mi al three 's are eque Use he F test ANOVA 0.05) to decide het e there sre 8 y differences n true average lumen puts emong the three brands or this type o bu by obtenng es much infomation as possble s out the P-vslue Round your ansi e to tro decima pleces What can b said about the P-valua forthe test? 0 0.050Pvelue0.100 0.010 P-value0.030 0.001Pvaluc 0.010 o P-value 0.001 State the condlution in the problem conraxt Fail to reject Ho. Thare are no atsically significant dfferances in thaluman cutput. Rajac H. Thare are statistically signficant dffarencas in the luman output. Rejec: Ho. There are no statiztically significant differences in the lumen output Fail to reject He. There are statisically significant cifferences in the lumen output.

Explanation / Answer

Hypotheses: Option C is correct.

Treatment Df = 3 - 1 = 2

Total Df = 7*3 - 1 = 21 - 1 = 20

So Error Df = 20 - 2 = 18

F = MSTr / MSE = (593.5/2) / (4770/20) = 1.24

P - value > 0.100

Conclusion: Option A is correct.