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) .
-If you were to take a very large number of samples, about how far away would you expect x_B-x_A to fall from its mean?

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The Answer of 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). -If you were to take a very large number of samples, about how far away would you expect x_B-x_A to fall from its mean? A) 24.49 points B) 17.92 points C) 12.61 points D) 6.49 points

Math SAT Scores for Students Admitted to University a Are