Solve the problem.

SAT verbal scores are normally distributed with a mean of 447 and a standard deviation of 96. Use the Empirical Rule to determine what percent of the scores lie between 447 and 543.

Question

Solve the problem.

SAT verbal scores are normally distributed with a mean of 447 and a standard deviation of 96. Use the Empirical Rule to determine what percent of the scores lie between 447 and 543.

justus · Answer

Welcome to Question Cove. :)
What do you think the first step is?

Mercury · Answer

Z-score formula:

$$z = \frac{ x-µ }{ σ }$$
where z is the z-score, x is the value being examined, µ is the mean, σ is the standard deviation

calculate the z-score for x = 447, as well as x = 543, and use a calculator/z-table to find the associated probabilities. then subtract the two probabilities to get the % of scores between 447-543