The mean MCAT total score in a recent year is 500. A random sample of 32 MCAT

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The mean MCAT total score in a recent year is 500. A random sample of 32 MCAT total scores is selected. What is the probability that the mean score for the sample is 

(a) Less than 503, 

(b) More than 502, and 

(c) Between 498 and 501? Assume σ = 10.6.


Find the indicated probabilities and interpret the results.

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