suppose there were only a total of 4 drivers attached to the automobile company (i.e. 4 drivers in the study were not selected at random). Five cars of the same model with manual transmission were selected at random from the assembly line. Each driver drive each car twice over a 40-mile test course and the miles per gallon were recorded. Let Y_ be the mpg for the drive of the car by the driver. Now suppose you have following additional information about the drivers. Additive model Driver Age Group Gender 1 Young Female 2 Young Male 3 Old Male 4 Old Female Suppose we want to make the following comparisons: (1). compare the mean mpg values for the young drivers against the old drivers (2). compare the mean mpg values for the female drivers against the male drivers Are the contrasts corresponding to these comparisons orthogonal