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A worldwide organization of academics claims that the IQ score of its members is 118, with a standard deviation of 15. A randomly selected group

A worldwide organization of academics claims that the IQ score of its members is 118, with a standard deviation of 15. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 117.2.

If the organizations claim is correct, what is the probability of having a sample mean of 117.2 or less for a random sample size? Carry your intermediate computations to at least 4 decimal places. Round your answer to at least 3 decimal places.

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