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A worldwide organization of academics claims that the mean IQ score of its members is 118...

A worldwide organization of academics claims that the mean IQ score of its members is 118 , with a standard deviation of 16 . A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 114.2 . If the organization's claim is correct, what is the probability of having a sample mean of 114.2 or less for a random sample of this size?

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