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The following ANOVA table, based on information obtained for three samples selected from three independent populations that are normally distributed with equal variances, has a few missing values.
Source of
Variation
Degrees of
Freedom
Sum of
Squares
Mean
Square
Value of the
Test Statistic
Between
2
II
19.2813
Within
89.3677
III
F = ___V__ = VII
VI
Total
12
IV
a) Find the missing values and complete the ANOVA table. Round to four decimal places.
b) Using α = .01, what is your conclusion for the test with the null hypothesis that the means of the three populations are all equal against the alternative hypothesis that the means of the three populations are not all equal?
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