1) (Seven parts; 35 marks in total) An agronomist conducted an experiment to test the effectiveness of three types of fertilizers (A, B, and C) and two levels of irrigation (low and high) on the mean yield of potatoes (in tonnes/hectare). She grew the potatoes in 4 replicate plots for each combination of these two factors arranged in a completely randomized design in a uniform field. a) (5 marks) Initially, the agronomist analyzed the results of the experiment with two-factor ANOVA (without including interaction), obtaining computer output as shown below (though some values are missing). At the 1% significance level, perform the most appropriate test to determine whether there is an effect of the fertilizer type on mean potato crop yield. Show ALL steps. Table 1: Output for two-way ANOVA without interaction (Additive Model). Tests of Between-Subjects Effects Dependent Variable: Crop_Yield Source Corrected Model Intercept Fertilizer Irrigation Error Total Corrected Total Type III Sum of Squares df Mean Square F Sig. 33975.375 33.250 26.042 70.333 34105.000 129.625 a. R Squared = .457 (Adjusted R Squared = .376) Stat 252 - Homework # 5 Questions - Winter 2018 b) (6 marks) The agronomist was not convinced of the results. Without redoing the experiment, she reanalyzed the same data, while including an interaction term. The computer output below shows two- factor ANOVA with interaction (though some values are missing). At the 1% significance level, perform the most appropriate test to determine whether the overall model is significant, that is, whether either fertilizer, irrigation, or the interaction term has an effect on mean yield. Show ALL steps. 1