Initials 5) (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 (T), 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 n = 10 a) (5 points) Write the most appropriate combination () to compare the train location (7)to all other locations. b) (2 points) Is this combination a contrast? Please justify your answer. c) (7 points) Suppose Sam I Am wants to assess if there is sufficient evidence to conclude that: 1 1 1 1 1 = HH+ HC + jur + HB is equal to O. Please conduct the appropriate t-test at a = 0.05. d) (3 points) Could Sam I Am use an F-test instead of a t-test? Justify your answer in 1 or 2 sentences