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?

1. Reject H₀. Conclude that the means of the three populations are equal.
2. Reject H₀. Conclude that the means of the three populations are not equal.
3. Do not reject H₀. Conclude that the means of the three populations are equal.
4. Do not reject H₀. Conclude that the means are of the three populations are not equal.