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)95%
B)99.7%
C)68%
D)99.99%

Question

Quizplus · Accepted Answer

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. In this case, 96 mmHg and 144 mmHg are two standard deviations away from the mean (120 ± 2*12), so according to the empirical rule, approximately 95% of 18-year-old women have a systolic blood pressure in this range.

Use the Empirical Rule to Solve the Problem