12. The following data are constructed so that all three treatments have exactly the same mean, M = 4.

a. Before you begin any calculations, predict what value should be obtained for 5Sbetween treatments-

[flint: How big are the differences between treatments

'i

b. Calculate .S'.V,,,,.,, and 55wllh „, , K..„,m. nls . You should find that all of the variability in the data is wilhintreatments variability (.V.V,,,,.,, - 5.S\v „ hl „ l , ca „m. nls ).

c. Complete the analysis of variance with a = .05 to determine whether there are any significant differences among the three treatments. (Does your answer agree with your prediction in part a?)

Treatment I II III 4 5 6 N=12 3 3 2 G = 48 5 5 4 IX2 = 206 4 3 4 T= 16 T = 16 T = 16 55 = 2 55 = 4 55 = 8