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A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 15. A randomly selected

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A worldwide organization of academics claims that the mean IQ score of its members is 112, with a standard deviation of 15. A randomly selected group of 35 members of this organization is tested, and the resull: 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? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. '3 x5)

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