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docker41 [41]
3 years ago
12

An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100

and a standard deviation of 15, what is the minimum IQ required for admission into the organization?
• Use Excel, and round your answer to the nearest integer.
Provide your answer below:________.
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

\mu = 100

Standard deviation

\sigma=15

Now,

⇒ P(z>x)=4 \ percent \ i.e., 0.04

⇒ P(z>\frac{x- \mu}{\sigma} )=0.04

⇒ 1-P(z \leq \frac{x-100}{15})=0.04

⇒ \frac{x-100}{15}=z0.96

            =NORMDIS(z=0.96)

            =1.751

⇒ x=100+15\times 1.751

      =126.265 \ i.e., 126

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