An analysis of variance experiment produced a portion of the accompanying ANOVA

ID: 3151978 • Letter: A

Question

An analysis of variance experiment produced a portion of the accompanying ANOVA table. Fill in the missing statistics in the ANOVA table. Specify the competing hypotheses in order to determine whether some differences exist between the population means At the 10% significance level, what is the conclusion to the test? Reject H_0. the population means are not unequal Reject H_0, the population means are unequal Do not reject H_0 the population moans are not unequal Do not reject H_0; the population moans are unequal

Explanation / Answer

ANOVA TABLE

Sources of variation

Sum of squares

d.f

Mean sum of squares

F ratio

P value

F critical

Between the variations

23.79

7.93

F = mean sum of squares between the variation / mean sum of squares within the group

2.186

Within the group

69.35

1.2609

= 7.93/1.2609 =6.2891

Total

93.14

Against the alternative

Ha : not all population means are equal