SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their meanmathematics SAT score to be 466. Assume the population standard deviation is o = 116.Part: 0 / 4Part 1 of 4?(a) Construct a 95% confidence interval for the mean mathematics SAT score for the entering freshman class. Round theanswer to the nearest whole number.0A 95% confidence interval for the mean mathematics SAT score is< u <