Question

question daniel earned a score of 28 on exam a that had a mean of 25 and a standard deviation of 4. he is about to take exam b that has a mean of 700 and a standard deviation of 100. how well must daniel score on exam b in order to do equivalently well as he did on exam a? assume that scores on each exam are normally distributed. answer attempt 2 out of 2

Explanation:

Step1: Calculate the z - score for Exam A

The z - score formula is $z=\frac{x-\mu}{\sigma}$. For Exam A, $x = 28$, $\mu = 25$, and $\sigma=4$. So, $z=\frac{28 - 25}{4}=\frac{3}{4}=0.75$.

Step2: Use the z - score to find the score on Exam B

We know that for Exam B, $\mu = 700$, $\sigma = 100$, and we want the same z - score of $z = 0.75$. Using the z - score formula $z=\frac{x-\mu}{\sigma}$ and solving for $x$, we get $x=z\sigma+\mu$. Substituting the values, $x=0.75\times100 + 700$.
$x = 75+700=775$.

Answer:

775