Question: A standard intelligence test has an average score of 100. According to statistical theory, of the people who take the test, the 2.5% with the
A standard intelligence test has an average score of 100. According to statistical theory, of the people who take the test, the 2.5% with the highest scores will have scores of more than 1.96σ above the average, where σ (sigma, a number called the standard deviation) depends on the nature of the test. If σ = 12 for this test and there is (in principle) no upper limit to the score possible on the test, write the interval of possible test scores of the people in the top 2.5%.
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