Question

A researcher records the following data for each of three groups.

Group A	Group B	Group C
3	5	11
7	9	1
9	3	11
9	9	7
12	14	10

What is the value of the F-statistic? (Round your answer to two decimal places.)
F =  

Explain your answer.

F is the indicated value because the group means are the same. There is no variability between groups.F is the indicated value because the group means are the same. There is substantial variability between groups.    F is the indicated value because the group means are different. There is no variability between groups.F is the indicated value because the groups means are different. There is substantial variability between groups.

Answer 1

The test statistic can be written as

which under H₀ follows a F distribution with df = (df(Group), df(Error)) = (2,12)

We reject H₀ at 5% level of significance if P-value < 0.05

The value of the F statistic = 0

and P-value = 1

Since P-value = 1 > 0.05, so we fail to reject H₀ at 5% level of significance and we can conclude that the group means are not significantly different.

ans-> F is the indicated value because the group means are the same. There is no variability between groups.