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Question 4 A group of engineering students wants to determine if humidity conditions have an effect on the force required to pull apart pieces of glued plastic. Three types of plastic (X, Y, Z) were tested at four different levels of humidity (20%, 40%, 60%, 80%). The following results, in kilograms, were recorded. Plastic Type X Y Z Total 20% 39.0 36.9 28.6 104.5 Analysis of Variance Error Total 40% 33.1 27.2 30.2 90.5 Source Plastic Type 2 55.66 27.831 Humidity 3 42.50 14.167 52.40 G 6 11 150.57 DF Adj SS Adj MS F-Value Humidity 60% 33.6 29.7 27.7 91.0 a) Identify the design used for this study 3.19 1.62 80% 33.0 28.5 32.5 94.0 P-Value 0.114 0.281 Total 138.7 122.3 119.0 380.0 (1 mark) b) Identify factor, blocking and response (3 marks) c) Show that sum of square of plastic type is 55.66 (3 marks) d) Find G (1 mark) e) At the 1% level of significance, do the data provide sufficient evidence to indicate there is an effect of types of plastic on force required to pull apart glued plastic? (5 marks)