Question

Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of...

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?

c. 84

a. 70

d. 68

b. 85

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Answer #1

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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