PlakeEkara
Answered

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an IQ of 122, what percent of the population has an IQ less than she does?


A7%
B22%
C93%
D99%
E47%

Verified Answer :

HomertheGenius

z = ( 122-100 ) / 15 = 22/15 = 1.467
Then we have to use a z-table for a normal distribution.
The percent of the population that has an IQ less than she does is C ) 93%

Answer:

93% of the population has an IQ less than she does

Step-by-step explanation:

Mean = \(\mu = 100\)

Standard deviation = \(\sigma = 15\)

x = 122

Formula : \(z= \frac{x-\mu}{\sigma}\)

\(z= \frac{122-100}{15}\)

\(z=1.46\)

Refer the z table for p value

So, p value = 0.9279

Percentage = 92.7% ≈ 93%

So, 93% of the population has an IQ less than she does

Related Questions