Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). One of the tests provided by the NAEP assesses the mathematics skills of eighth‑grade students. In a recent year, the national mean score was 282, and the standard deviation was 40. Assuming that these scores are approximately Normally distributed, (282,40), use the 68–95–99.7 rule to give a range of scores that includes 99.7% of these students.
Give your answer as an interval in the form (lower limit, upper limit). Give the limits as whole numbers.
range: