Question

The mean sat verbal score is 447, with a standard deviation of 95. Use the Empirical Rule to determine what percent of the score lie between 352 and 447.

Answer 1

34.134%

Explanation:

We start by calculating the z-scores

Mathematically;

z-score = (x-mean)/SD

for 352

z-score = (352-447)/95 = -95/95 = -1

For 447;

z-score = (447-447)/95 = 0/95 = 0

So the probability we want to calculate will be;

P( -1 < X < 0)

According to the emipirical rule, we want to calculate the proportion below 1 SD of the mean

According to the empirical rule, this is 34.134%