Water collected in a single bottle from a river is divided into eight specimens. Two specimens are randomly selected and sent to Lab A, two to Lab B, two to Lab C, and two to Lab D. The amount of heavy metals (ppm) is measured for each specimen. Calling each lab a treatment, suppose the data are
Treatment Observations
A............... 5 9
B............... 8 4
C............... 4 2
D............... 7 9
(a) Obtain the arrays that show a decomposition for the observations.
(b) Find the sum of squares for each array.
(c) Determine the degrees of freedom for each sum of squares.
(d) Summarize by an ANOVA table.