Answer: 99.7% of of 18- year- old women have a systolic blood pressure that lies within 3 standard deviations to either side of the mean
Step-by-step explanation:
We would apply the standard deviation rule. The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 120 mmHg and the standard deviation is 12 mmHg.
Therefore,
99.7% of of 18- year- old women have a systolic blood pressure that lies within 3 standard deviations to either side of the mean.
