Scholastic Assessment Test (SAT) scores, which have fallen slowly since the inception of

Chapter 8, Problem 8.82

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Scholastic Assessment Test (SAT) scores, which have fallen slowly since the inception of the test, have now begun to rise. Originally, a score of 500 was intended to be average. The mean scores for 2005 were approximately 508 for the verbal test and 520 for the mathematics test. A random sample of the test scores of 20 seniors from a large urban high school produced the means and standard deviations listed in the accompanying table: Verbal Mathematics Sample mean 505 495 Sample standard deviation 57 69 a Find a 90% confidence interval for the mean verbal SAT scores for high school seniors from the urban high school. b Does the interval that you found in part (a) include the value 508, the true mean verbal SAT score for 2005? What can you conclude? c Construct a 90% confidence interval for the mean mathematics SAT score for the urban high school seniors. Does the interval include 520, the true mean mathematics score for 2005? What can you conclude?

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