Math SAT Scores for Students Admitted to University a Are

Short Answer

Math SAT scores for students admitted to University A are bell-shaped with a mean of 520 and a standard deviation of 60. Math SAT scores for students admitted to University B are also bell-shaped, but with a mean of 580 and a standard deviation of 45. Suppose you plan to take a simple random sample of 15 students from University A and 25 students from University B. Let x_B-x_A be the difference in sample mean math SAT scores between the two samples (B - A).
-Fill in the blanks: Approximately 95% of differences in sample mean math SAT scores between the two universities will be between ____(1)____ and ____(2)____ points.