A worldwide organization of academics claims that the mean IQ score of its members is 112 with a standard deviation of 16 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 114 6 If the organization s claim is correct what is the probability of having a sample mean of 114 6 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