Suppose it is known that the IQ scores of a certain population of adults are approximately normally

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Suppose it is known that the IQ scores of a certain population of adults are approximately normally distributed with a standard deviation of 15.

A simple random sample of 25 adults drawn from this population had a mean IQ score of 105.

On the basis of these data can we conclude that the mean IQ score for the population is not 100? Let the probability of committing a type I error be .05.

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