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Averages versus individuals scores on the act college

Question: Averages versus individuals. Scores on the ACT college entrance examination vary Normally with mean μ = 18 and standard deviation σ = 6. The range of reported scores is 1 to 36.

(a) What range contains the middle 95% of all individual scores?

(b) If the ACT scores of 25 randomly selected students are averaged, what range contains the middle 95% of the averages x¯?

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