6) (17 points) Sam I Am wants to determine the likelihood of someone eating green eggs and ham in four different locations, specifically House (H), Car (C), Train (7), and Boat (B). After fitting a one-way ANOVA model and using the corresponding overall F-test to reject Ho: Population means across the four locations are equal, Sam decided to perform some post-hoc hypothesis tests. Here are the sample mean values of the response variable Y at each of the four locations, as well as some other important values: YH = 2.8 Yc = 0.9 YT =3.0 YB =1.2 MSE = 2.11 ni = 10 a) (5 points) Write the most appropriate combination (I) to compare the train location (7) to all other locations. 1 = HT HH + Hc + HB 3 b) (2 points) Is this combination a contrast? Please justify your answer. This combination is a contrast because if we take the coefficients of each mean unit, they will add up to zero. c) (7 points) Suppose Sam I Am wants to assess if there is sufficient evidence to conclude that: 1 1 is equal to 0. Please conduct the appropriate t-test at a = 0.05