Question

question 7 of 10
in the class of 2019, more than 1.6 million students took the sat. the distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117.
what proportion of students earned scores between 500 and 600 on the sat math test?
round your answer to 4 decimal places.

Explanation:

Step1: Calculate z - scores

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $\mu$ is the mean, $\sigma$ is the standard deviation, and $x$ is the value from the data set.
For $x = 500$, $z_1=\frac{500 - 528}{117}=\frac{- 28}{117}\approx - 0.24$.
For $x = 600$, $z_2=\frac{600 - 528}{117}=\frac{72}{117}\approx0.62$.

Step2: Use the standard normal table

We want to find $P(-0.24We know that $P(-0.24From the standard - normal table, $P(Z < 0.62)=0.7324$ and $P(Z < - 0.24)=0.4052$.
So $P(-0.24

Answer:

$0.3272$