The mean ACT composite score in a recent year is 20.8. A random sample of 36 ACT

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The mean ACT composite score in a recent year is 20.8. A random sample of 36 ACT composite scores is selected. What is the probability that the mean score for the sample is 

(a) Less than 21.6, 

(b) More than 19.8, and 

(c) Between 20.5 and 21.5? Assume σ = 5.6.


Find the indicated probabilities and interpret the results.

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