The Trial Urban District Assessment (TUDA) is a government-sponsored study of student achievement in large urban school districts. TUDA gives a reading test scored from 0 to 500. A score of 243 is a “basic” reading level and a score of 281 is “proficient.” Scores for a random sample of 1470 eighth-graders in Atlanta had a mean of 240 with standard deviation of 42.17. Construct and interpret a 99% confidence interval for the mean reading test score of all Atlanta eighth-graders. Show your calculations and round your interval to three decimal places.