A completely randomized design of an analysis of variance ex

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?

Solution

(a)

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(b)H₀: ?_A = ?_B = ?_C = ?_D; H_A: 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