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.

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