1 Answer

Screenack · Answer 1 · 2023-03-18T19:32:56+0000

First we must obtain the relationship between the grade, the mean and the standard deviation of exam A

$\begin{gathered} z=\frac{x-\operatorname{mean}}{\sigma} \\ z_A=(508-500)/(40) \\ z_A=0.2 \\ \end{gathered}$

Now we have to find the required score for exam B to reach the same ratio factor z

$\begin{gathered} z_B=z_A \\ 0.2=\frac{x_B-350_{}}{20} \\ x_B=0.2(20)+350 \\ x_B=354 \end{gathered}$

As seen in the calculations, Nevaeh must score 354 on Exam B to equal the score on Exam A

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