Averages versus individuals Scores on the American College

Chapter 10, Problem 10.34

(choose chapter or problem)

Averages versus individuals Scores on the American College Testing (ACT) college admissions examination vary Normally with mean m 5 18 and standard deviation s 5 6. Th e range of reported scores is 1 to 36. (a) What range contains the middle 95% of all individual scores? Explain. (b) If the ACT scores of 25 randomly selected students are averaged, what range contains the middle 95% of the averages x? Justify your answer.

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