The lumen output was determined for each of I = 3 different brands of lightbulbs
ID: 3258149 • Letter: T
Question
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 = 4774.4 and SSTr = 595. State the hypotheses of interest (including word definitions of parameters). mu_i = Sample average lumen output for brand i bulbs H_0: mu_1 = mu_2 = mu_3 H_a: all three mu_i' s are unequal mu_i = true average lumen output for brand i bulbs H_0: mu_1 notequalto mu_2 notequalto mu_3 H_a: at least two mu_i's are equal mu_i = Sample average lumen output for brand i bulbs H_0: mu_1 notequalto mu_2 notequalto mu_3 H_a: all three mu_i's are equal mu_i = true average lumen output for brand i bulbs H_0: mu_1 = mu_2 = mu_3 H_a: at least two mu_i's are unequal Use the F test of ANOVA (alpha = 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.Explanation / Answer
Answer:
Source
DF
SS
MS
F
Group
2
595.0000
297.5000
1.3085
Error
21
4774.4000
227.3524
Total
23
5369.4000
F=1.31
P=0.291
calculated=1.31 < 3.47 the critical value at 0.05 level.
Ho is not rejected.
Source
DF
SS
MS
F
Group
2
595.0000
297.5000
1.3085
Error
21
4774.4000
227.3524
Total
23
5369.4000
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