3. From the mid-1960s to the early 19903, there was a slow but steady decline in SAT scores. For example, take the Verbal SAT. The average in 1967 was about 543; by 1994, the average was down to about 499. However, the SD stayed close to 110. The drop in averages has a large e'ect on the tails of the distribution. (a) Estimate the percentage of students scoring over 700 in 1967. (b) Estimate the percentage of students scoring over 700 in 1994. You may assume that the histograms follow the normal curve. Comments. SAT scores range from 200 to 800. It does not seem that the SAT was getting harder. Most of the decline in the 19605 is thought to result from changes in the population of students taking the test. The decline in the 19705 cannot be explained that way. From 1994 to 2005, scores generally increased. The test was re-normalized in 1996, which complicates the interpretation; the averages mentioned above were converted to the new scale.4 4. 0n the Math SAT, men have a distinct edge. In 2005, for instance, the men averaged about 538, and the women averaged about 504. (a) Estimate the percentage of men getting over 700 on this test in 2005. (b) Estimate the percentage of women getting over 700 on this test in 2005. You may assume (i) the histograms followed the normal curve, and (ii) both SDs were about 120.4