Question

question
for males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 5. using the empirical rule, what percentage of males in the town have a systolic blood pressure between 120 and 130?
answer attempt 2 out of 2

Explanation:

Step1: Calculate z-scores for values

For 120: $z_1 = \frac{120 - 125}{5} = -1$
For 130: $z_2 = \frac{130 - 125}{5} = 1$

Step2: Apply empirical rule

The empirical rule states that ~68% of data lies within $\mu \pm 1\sigma$, which corresponds to z-scores -1 and 1.

Answer:

68%