Use the empirical rule to solve the problem.
-The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure
Between 96 mmHg and 144 mmHg?
A) 68%
B) 99.99%
C) 95%
D) 99.7%

Question

Quizplus · Accepted Answer

According to the empirical rule, approximately 68% of the data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. In this case, the range from 96 mmHg to 144 mmHg falls within 2 standard deviations of the mean (since 96 mmHg is 2 standard deviations below the mean and 144 mmHg is 2 standard deviations above the mean). Therefore, approximately 95% of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg.

Use the Empirical Rule to Solve the Problem