# The Standard Normal table allows us to calculate proportions pertaining to our population. Example #3 (Exercise 1.86) Eleanor scores 680 on the math…

The Standard Normal table allows us to calculate proportions pertaining to our population. Example #3 (Exercise 1.86) Eleanor scores 680 on the math part of the SAT exam. The distribution of SAT scores in a reference population is normal with mean 500 and standard deviation 100. Gerald takes the ACT math test and scores 27. ACT scores are normally distributed with mean 18 and standard deviation 6. Find the z-scores for both students. Assuming that both tests measure the same kind of ability, who has the higher score? Example #4 (Exercise 1.92) In 2000, the scores of men on the math part of the SAT approximately followed a normal distribution with mean 533 and standard deviation 115. a) What proportion of men scored above 500? B) What proportion scored between 400 and 600? Example #5 High school boys are timed in their ability to run a mile as part of a physical fitness test. The times required to complete the run are approximately normal with mean 450 seconds and standard deviat