Use the empirical rule to solve the problem. The systolic blood pressure of 18 yr. old women is normally distributed with a mean of 120 mmHg (millimeters of Mercury) and a standard deviation of 14 mmHg. What is the percentage of 18 yr. old women that have a systolic blood pressure between 92 mmHg and 162 mmHg.
Solution:- The percentage of 18 yr. old women that have a systolic blood pressure between 92 mmHg and 162 mmHg is 97.6%.
x1 = 92
x2 = 162
By applying normal distruibution:-
z1 = - 2.0
z2 = 3.0
P( - 2.0 < z < 3.0) = 0.977 - 0.001
P( - 2.0 < z < 3.0) = 0.976
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