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Emma was told that her IQ score was 2 standard deviations below the mean, If IQ scores were approximately normalwith u = 97 and o= 3, what was Emma's score? Do not include units in your answer. For example, if you found that thescore was 97 points, you would enter 97.

Answer :

[tex]\begin{gathered} Z=\frac{x-\mu}{\sigma}\text{ =-2} \\ \\ Z=\frac{x-97}{3}=-2 \\ x-97=-6\text{ (Having cross multiplied)} \\ x=97-6 \\ x=91 \end{gathered}[/tex]

So, Emma's IQ score is 91.

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