Let us suppose that SAT Mathematics (SATM scores in the absence of coaching vary normally with mean = 515 and ? = 100. Suppose after coaching the 99% confidence interval for the average mean SATM is (514,517). An increase in the SATM score from 515 to 518 is of no importance in seeking admission in college. Is the extra expense of coaching helpful in gaining admission to college? Please explain your answer on a separate piece of paper. (You only have one try for this question.)