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12. The distribution of the length of fish in a hatchery is approximately Normal with mean 14 inches and standard deviation 2 inches.

(a) What is the probability that 16 randomly selected fish have a mean length more than 14. 5 inches?

(b) What is the probability that 64 randomly selected fish have a mean length more than 14. 5 inches?

(c) Explain why the probabilities in (a) and (b) are not equal.

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