For males in a certain town, the systolic blood pressure is normally distributed with a mean of 110 and a standard deviation of 8 . Using the empirical rule, determine the interval of systolic blood pressures that represent the middle $95 \%$ of males.
Answer
\(\boxed{\text{The interval of systolic blood pressures that represent the middle 95\% of males is (94, 126).}}\)
Step 1 ：Given that the mean systolic blood pressure for males in the town is \(110\) and the standard deviation is \(8\).
Step 2 ：Using the empirical rule, we know that approximately \(95\%\) of the data falls within two standard deviations of the mean.
Step 3 ：Calculate the lower bound of the interval by subtracting two standard deviations from the mean: \(110 - 2 \times 8 = 94\).
Step 4 ：Calculate the upper bound of the interval by adding two standard deviations to the mean: \(110 + 2 \times 8 = 126\).
Step 5 ：\(\boxed{\text{The interval of systolic blood pressures that represent the middle 95\% of males is (94, 126).}}\)
