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)99.99%
B)68.26%
C)95.44%
D)99.74%

Question

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)99.99%
B)68.26%
C)95.44%
D)99.74%

Quizplus · Accepted Answer

The empirical 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, the mean is 120 mmHg and the standard deviation is 12 mmHg. So, 95% of the data falls between 120 - 2(12) = 96 mmHg and 120 + 2(12) = 144 mmHg.

Use the Empirical Rule to Solve the Problem