A completely randomized design of an analysis of variance experiment produced a

Question

A completely randomized design of an analysis of variance experiment produced a portion of the accompanying ANOVA table.

A completely randomized design of an analysis of variance experiment produced a portion of the accompanying ANOVA table.

A completely randomized design of an analysis of variance experiment produced a portion of the accompanying ANOVA table. Fill in the missing statistics in the ANOVA table. (Round intermediate values to 4 decimal places and your answers to 2 decimal places.) Specify the competing hypotheses in order to determine whether some differences exist between the population means. At the 1% significance level, what is the conclusion to the test?

Explanation / Answer

(a)

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(b)H0: ?A = ?B = ?C = ?D; HA: Not all population means are equal.

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(c)Do not reject H0; the population means are unequal.

  ANOVA   Source of Variation SS df      MS      F p-value F crit   Between Groups 12.11 3 12.11/3=4.04 4.04/1.32=3.06 0.0357 4.159   Within Groups 72.52 55 72.52/55=1.32   Total 84.63 58

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