A commonly used IQ test is scaled to have a mean of 100 and a standard deviation

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A commonly used IQ test is scaled to have a mean of 100 and a standard deviation of σ = 15. A school counselor was curious about the average IQ of the students in her school and took a random sample of fifty students' IQ scores. The average of these was y = 107.9. Find a 95% confidence interval for the student IQ in the school.

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