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*You will use the following scenario forquestions 1-4*On the Wechsler Adult IntelligenceScale a mean IQ is 100 with a standarddeviation of 15. You may assume thatIQ scores follow a normal distribution.What percent of people have an IQscore less than 90?*Write your answer as a percent andround to 2 decimal places*

You will use the following scenario forquestions 14On the Wechsler Adult IntelligenceScale a mean IQ is 100 with a standarddeviation of 15 You may assume thatIQ class=

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The Solution:

Given:

[tex]\begin{gathered} x=90 \\ \mu=100 \\ \sigma=15 \end{gathered}[/tex]

By formula,

[tex]Z=\frac{x-\mu}{\sigma}=\frac{90-100}{15}=\frac{-10}{15}=-0.6667[/tex]

From the z-score tables:

[tex]P(Z\leq90)=0.25248[/tex]

Convert to percent by multiplying with 100.

[tex]0.25248\times100=25.248\approx25.25\text{\%}[/tex]

Thus, the number of people that have an IQ score less than 90 is 25.25%

Therefore, the correct answer si 25.25%

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