In: Statistics and Probability
The table below contains summary statistics of measurements of the same variable for four different groups.
Statistics | 1 | 2 | 3 | 4 |
n | 10 | 10 | 10 | 10 |
xbar | 2 | 2 | 6 | 8 |
s^2 | 20 | 20 | 20 | 20 |
(a) Write down the ANOVA table for this data, including the sum ofsquares, degrees of freedom, and mean square for each group.
Source of VariationDegree of freedomSum of SquaresMean Square
Treatment
Error
Total
b) Using a 5% significant level, test whether these four factor levels havethe same mean or not.