For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 7. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.
The middle 99.7% of males fall within 3 standard deviations of the mean according to the empirical rule.
1 standard deviation = 7
3 standard deviations = 3 * 7 = 21
So, the interval of systolic blood pressures that represent the middle 99.7% of males would be:
125 - 21 to 125 + 21
This simplifies to:
104 to 146
Therefore, the interval of systolic blood pressures that represent the middle 99.7% of males in the town is 104 to 146.