The college board reported the following mean scores for the past 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)?