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?
- Reject H0. Conclude that the means of the three populations are equal.
- Reject H0. Conclude that the means of the three populations are not equal.
- Do not reject H0. Conclude that the means of the three populations are equal.
Do not reject H0. Conclude that the means are of the three populations are not equal