1 Answer

Defectus · Answer 1 · 2023-03-30T08:05:52+0000

We need to calculate first for the z-score of Angel on Exam A. The z-score can be computed using the equation:

$z=\frac{x-\operatorname{mean}}{\text{standard deviation}}$

Given the mean, score (represented by x), and the standard deviation, Angel's z-score in exam A is computed as follows:

$\begin{gathered} z=(174-150)/(40) \\ z=(24)/(40)=0.6 \end{gathered}$

We now derive an equation solving for x to compute the needed score of Angel on Exam B so that she has the same performance as Exam A.

$\begin{gathered} x-\operatorname{mean}=z\cdot\text{standard deviation} \\ x=\operatorname{mean}+z\cdot\text{standard deviation} \end{gathered}$

Using the z score computed on Exam A plus the mean and standard deviation for Exam B, the minimum points Angel needed will be:

$\begin{gathered} z=(550)+(0.6\cdot40) \\ z=550+24=574 \end{gathered}$

Therefore, Angel needs a score of 574 on exam B so that he can do equivalently as well as Exam A.

Answer: 574 points

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