Question #7 / 10 A worldwide organization of academics daims that the mean IQ sc

Question

Question #7 / 10 A worldwide organization of academics daims that the mean IQ score of its members is 112, with a standard deviation of 15. 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? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Clear Undo Help ? lt looks like you haven't started Frefoxinawhle. Do you want to dean tup for a fesh, lkeew experence, And by the way, wekene back

Explanation / Answer

We need Prob( sample mean < = 114.2 )

= P( ( sample mean - 112 ) / (15 / 400.5) <= ( 114.2 - 112 ) / (15 / 400.5 ) )

= P( Z <= 0.9276)

= 0.8232

Answer : 0.8232

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