13.07.2022 - 06:56

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. According to the Wechsler IQ testing agency, a person with an IQ of 40 or below is an Idiot. What proportion of IQ test takers are not Idiots?

Question:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. According to the Wechsler IQ testing agency, a person with an IQ of 40 or below is an Idiot. What proportion of IQ test takers are not Idiots?

Answers (1)
  • Fay
    April 16, 2023 в 07:07
    The first step in solving this problem is to standardize the IQ score using the formula: z = (X - mu) / sigma where z is the standardized score, X is the IQ score, mu is the mean, and sigma is the standard deviation. For an IQ of 40 or below: z = (40 - 100) / 15 = -4 To find the proportion of IQ test takers who are not Idiots, we need to find the area under the normal curve to the right of this z-score. We can use a table or calculator to find this area, which is \approx imately 1.00. Therefore, the proportion of IQ test takers who are not Idiots is 1.00 or 100%.
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