An SRS of 380 high school seniors gained an average of ¯=22.46 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation =53.40. We want to estimate the mean change in score in the population of all high school seniors.
(a) Using the 68 – 95 – 99.7 Rule or the - table (Table A), give a 99.7% confidence interval (,) for based on this sample.

(Enter your answers rounded to three decimal places.