From the mid-19603 to the mid-19905, there was a steady decline in SAT scores. The average verbal SAT score in 1965 was 543. In 1995, it was 499. However, the standard deviation stayed at about 110 in both years. Assume that SAT scores in each year follow a Normal distribution. 1. Estimate the percent of students scoring over 600 in 1965 and in 1995. (2pts) 2. What was the score at the 70th percentile in 1965 and in 1995? (2pts) (The Normal probability table in Appendix C of your textbook will not show the exact number that corresponds to the 70th percentile. However, from the table you will be able to infer that 70th percentile lies between two numbers, say a and b. Any number between a and b will be marked as the correct answer.) 3. Estimate the percent of students who scored between 490 and 700 in 1965 and in 1995. (2pts) 4. Suppose you learn that all the scores in 1995 were under-reported by exactly 75 points. What is the corrected mean, standard deviation, and 75th percentile of the score distribution in 1995? (2pts)