SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 451. Assume the population standard deviation is = \sigma 116. Part: 0/40 of 4 Parts Complete Part 1 of 4 (a) Construct a 99.8% confidence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number. A 99.8% confidence interval for the mean mathematics SAT score is <<\mu.