An experiment has a single factor with seven groups and two values in each group. In determining the among-group variation, there are 6 degrees of freedom. In determining the within-group variation, there are 7 degrees of freedom. In determining the total variation, there are 13 degrees of freedom. Also, note that SSA = 90, SSW = 35, SST = 125, MSA = 15, MSW = 5, and FSTAT = 3. Complete parts (a) through (d).
a. Construct the ANOVA summary table and fill in all values in the table.
Source
Degrees of Freedom
Sum of Squares
Mean Square (Variance)
F
Among groups
6
90
15
Within groups
7
35
5
Total
13
125
b. At the 0.01 level of significance, what is the upper-tail critical value from the F distribution? (round to two decimal places as needed)
F0.01 =
c. State the decision rule for testing the null hypothesis that all seven groups have equal population means.
Reject H0 if Fstat >
d. What is your statistical decision?
Since FSTAT is than the upper-tail critical value, H0. There is evidence to conclude there is a difference in the population means for the seven groups.