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 sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the critical reading part of the test (to 4 decimals)? round z value in intermediate calculation to 2 decimals places. what is the probability a 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)? round z value in intermediate calculation to 2 decimals places.