Question

for males in a certain town, the systolic blood pressure is normally distributed with a mean of 135 and a standard deviation of 5. using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males. answer attempt 1 out of 3

Explanation:

Step1: Recall the empirical rule

The empirical rule for a normal distribution states that approximately 99.7% of the data lies within 3 standard - deviations of the mean.

Step2: Calculate the lower bound

The formula for the lower bound $L$ is $L=\mu - 3\sigma$, where $\mu = 135$ (mean) and $\sigma = 5$ (standard deviation). So, $L=135-3\times5=135 - 15 = 120$.

Step3: Calculate the upper bound

The formula for the upper bound $U$ is $U=\mu + 3\sigma$. So, $U=135+3\times5=135 + 15 = 150$.

Answer:

The interval is $[120,150]$.