Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, it is assumed that people with IQ scores in the bottom 16% donâ t have the ability to think critically. What is the minimum IQ score needed to think critically?
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c. 84 |
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a. 70 |
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d. 68 |
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b. 85 |
Solution:
Given:
µ = 100
σ = 15
Z for bottom 16% area = -0.994457883
(by using excel)
X = µ + Z*σ
X = 100 + (-0.994457883)*15
X = 85.08313176
X = 85
Answer: b. 85
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