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Assume the IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15. Show all work. Just the

Assume the IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15. Show all work. Just the answer, without supporting work, will receive no credit.

(a) If a random sample of 25 adults is selected, what is the standard deviation of the sample mean?

(b) What is the probability that 25 randomly selected adults will have a mean IQ score that is between 95 and 105?

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