11. The mean IQ of a randomly selected student from a specific university is ; its variance...

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11. The mean IQ of a randomly selected student from a specific university is μ; its variance is 150. A psychologist wants to estimate μ. To do so, for some n, she takes a sample of size n of the students at random and independently and measures their IQ’s. Then she finds the average of these numbers. How large a sample should she choose to make at least 92% sure that the average is accurate within ±3 points?

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