(Use Excel) An analysis of variance experiment produced a portion of the accompa

Question

(Use Excel) An analysis of variance experiment produced a portion of the accompanying ANOVA table. Use Table 4 a. Fill in the missing statistics in the ANOVA table. (Round your answers to 2 decimal places.) ANOVA Source of Variation SS df Between Groups25.08 3 Within Groups MS p-value F crit 0.0004 2.725 92.64 76 Total 117.72 79 b. Specify the competing hypotheses in order to determine whether some differences exist between the population means. O Ho: ,-#8-4c= D, HA: Not all population means are equal. O HOPA 2 8 2 c 2 . HA: Not all population means are equal. O Ho: 4S c suD, HA: Not all population means are equal. C. At the 5% significance level, what is the conclusion to the test? O Reject Ho: we can conclude that some means differ. O Reject Ho; we cannot conclude that some means differ. O Do not reject Ho; we can conclude that some means differ. Do not reject Ho we cannot conclude that some means differ

Explanation / Answer

a) Missing values will be:

MS(Between groups) = 25.08/3 = 8.36

MS(Within Groups) = 92.64/76 = 1.22

F = 8.36/1.22 = 6.85

b) Option A is correct.

c) Option A is correct.

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