Three adhesives are being analyzed for their impact on the bonding strength of paper in a pulp and paper mill. The adhesive are each randomly applied to four batches. The bonding strength measured in kilograms (kg) for three different adhesive types are shown in the following table. Adhesive Type Bonding Strength (kg) Sum Mean 1 2 3 10.2 12.8 7.2 11.8 14.7 9.8 9.6 13.3 8.7 12.4 15.4 9.2 44.0 56.2 34.9 11.000 14.050 8.725 135.1 11.258 Answer the following questions by using the analysis of variance (ANOVA).

a) compute SSt, SStreatments, SSe, MStreatments, MSe, F0?

b) Is there a difference among the adhesives in terms of the mean bonding strength? Test at the 5% level of significance, i.e. = 0.05. Explain.