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 xB-xA 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.
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