The mean ACT composite score in a recent year is 20.7. A random sample of (36 mathrm{ACT})

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The mean ACT composite score in a recent year is 20.7. A random sample of \(36 \mathrm{ACT}\) composite scores is selected. What is the probability that the mean score for the sample is

(a) less than 22,

(b) greater than 23 , and

(c) between 20 and 21.5? Assume \(\sigma=5.9\).

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