a. Given the following information, construct an ANOVA table. Use Table 4 (Round

Question

a. Given the following information, construct an ANOVA table. Use Table 4 (Round intermediate values to 4 decimal places and your answers except "dr" to 2 decimal places.) SSTR = 220.7; SSE = 2,252.2; c = 3; n1 = n2 = n3 = 8 ANOVA df MS F crit at 1% Source of Variatio Between Groups Within Groups Total b. At the 1% significance level, what is the conclusion to the test? O Reject Ho, the population means are unequal. O Reject Ho; the population means are not unequal. O Do not reject Ho: the population means are unequal O Do not reject Ho; the population means are not unequal.

Explanation / Answer

a.

Here the table is

Here dF(between groups) = c -1 = 3 -1 = 2

dF(error) = 3 * (8-1) = 23

so MSTR = 220.7/2 = 110.35

MSE = 2252.2/21 = 107.2476

and F= MSTR/MSE = 1.0289

F(critical) = F(0.01, 2,21) = 5.7804

so here F < F criticical

(b) So donot reject the null hypothesis and populatin means are not unequal. OPtion 4 is correct.

ANOVA Source of Variation SS df MS F F crit Between Groups 220.7 2 110.35 1.028927 5.780416 Within Groups 2252.2 21 107.2476 Total 2472.9 23

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