A study was made to determine if humidity conditions have an effect on the force required to pull apart pieces of glued plastic. Three types of plastic a retested use 4 different levels of humidity. The results, in kilograms, are as follows:(a) Assuming a model I experiment, perform an analysis of variance and test the hypothesis of no interaction between humidity and plastic type at the 0.05 level of significance.(b) Using only plastics A and B and the value of s2 from part (a), once again test for the presence ofInteraction at the 0.05 level of significance(c) Use a single-degree-of-freedom comparison and the value of s2 from part (a) to compare, at the 0.05 level of significance, the force required at 30% humidity versus 50%, 70%, and 90% humidity.(d) Using only plastic C and the value of s2 from part (a), repeat part(c).

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Humidity 70% 90% Plastic Type 30% 50% 39.0 42.8 36.9 33.1 37.8 33.8 30.7 29.7 33.0 32.9 28.5 27.2 26.8 29.2 29.9 41.0 27.4 29.1 26.7 27.9 C. 30.9 30.3 32.0 31.5