Question

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 68% of males.

Answer 1

The interval of systolic blood pressure lie between 102 and 118.

What is systolic blood pressure?

Blood pressure is measured using two numbers: The first number, called systolic blood pressure, measures the pressure in your arteries when your heart beats. The second number, called diastolic blood pressure, measures the pressure in your arteries when your heart rests between beats.

Here, mean blood pressure is 110

and standard deviation is 8

By z table, for 68%,

-1 < z < 1

-1 < (x - μ) / σ < 1

on multiply by σ, we get

-σ < x-μ < σ

on adding μ, we get

-σ + μ < x < σ + μ

-8 + 110 < x < 110 + 8

102 < x < 118

Thus, the interval of systolic blood pressure lie between 102 and 118.

Learn more about blood pressure from:

brainly.com/question/12497098

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