1) The table below shows the 2023 math SAT scores for students that have different math teachers at Shayla High. The top row shows math SAT scores for Mr. Nathan and the bottom row SAT scores for Ms. Trishv. Construct and interpret a 95% confidence interval for the true mean difference in math SAT scores between the students who had Mr. Nathan and the students who had Ms. Trishy. Be sure to run the Random (10%a) and Normal/Large Counts tests. Assume each teacher had at least 100 students that took the 2023 SAT. Do not use one of the Tests in the STAT menu on the calculator. 2023 Math SAT Scores 550 2) Interpret the confidence interval from problem 1