From a sample of 25 statistics students, you calculate the average exam score and standard deviation for political science majors (n = 15) and for public administration majors (n = 10).For political science majors, the mean is 76 and the standard deviation is 20.For public administration majors, the mean is 70 and the standard deviation is 15.Test the hypothesis that political science majors score higher than public administration majors on statistics exams.