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QUESTION 3 [15 Marks] An experiment to determine the effect of four different types of engine oil (A, B, C, and D) on the rolling friction coefficient of a car speed has been conducted. Three brands of car (Honda, Toyota, and Mazda) were chosen, and each engine oil was tested twice on each car, producing the following ANOVA output in Figure 2! ANOVA Source of Variation MI'S F P-value Sample 0.00012 J.84-05 1.1201 3.4903 Columns 0.00036 0.00018 5.2110 3.8853 Interaction 0.00019 3.16-05 Within J.AE-05 Total 0.00107 23 Figure 2 i) How many treatments involved? Write down all the treatments. [2 Marks] ii) Identify the number of replication for each treatment. [1 Mark] i) Based on the ANOVA table above, find the values of W, X, Y and Z. [6 Marks] iv) Test the interaction effect on rolling friction coefficient of car speed between the four different types of engine oil and the three different brands of car. [4 Marks] Do we need to test for marginal effect? Give a reason. [2 Marks]