The college board reported the following mean scores for the three parts of the scholastic aptitude test (sat) (the world almanac, 2009): critical reading-502; mathematics-515; writing-494; assume that the population standard deviation on each part of the test is = 100.. what is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the mathematics part of the test (to 4 decimals)?