Subjects must press a button when they h ear a signal. The three treatments are three different intensities of the signal. The time elapsed between presentation of the signal and when the button is pushed, are recorded in hundredths of a second. Suppose the data are

(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.

Treatment 123 2 3 33 20 23 Observations 22 15 17 26 15 21 19 14 15