Evaluate the F test statistic for the following data where n

Evaluate the F test statistic for the following data, where n=4 for each sample

Group 1

Group 2

Group 3

Group 4

Sample Mean

6.6

3.4

3.0

1.2

Sample Variance

5.35

1.35

2.5

2.65

.

Solution

Set up hypotheses as:

H0: All means are equal

Ha: atleast two are not equal

Two tailed F test for 4 means

From the mean and variance given, prepare anova table for n =4

As p value =0.006 <0.05, reject null hypothesis and conclude that atleast two means are not equal.