The following three questions refer to the study described below: Dr. Brown thinks that there is very little change in a student's academic ability after the fourth grade. In order to test this theory he examines the relationship between a student's score on a fourth grade reading test and their later scores on a college preparedness exam. The data for 5 randomly selected students is provided below. 4th Grade Reading Test College Prep Test 65 128 78 140 74 165 68 168 73 164 4.) Calculate the correlation coefficient and indicate if there is a significant correlation between the two tests. (8 points) 5.) Dr. Little wants to know why drivers get into accidents. Using a driving simulator he tests 6 subjects under 3 different driving conditions: alone, talking on a cell phone, and dealing with a crying baby. The data below represent the number of driving errors for all three conditions. Keep in mind that every subject experienced all three driving conditions in a counter-balanced order to control for any possible carryover effects. Calculate the appropriate test to determine if there is a significant effect for driving condition on driver errors. (8 points) Alone Cell Phone Crying Baby 4 7 11 14 6.) Conduct a post-hoc analysis to see if the subjects got into significantly more accidents when they were in the baby condition as opposed to the cell phone condition. (4 points)