
Concept explainers
Check your blood pressure: In a recent study, the Centers for Disease Control and Prevention repotted that diastolic blood pressures of adult women in the United States are approximately
- What proportion of women have blood pressures lower than 70?
- What proportion of women have blood pressures between 75 and 90?
- A diastolic blood pressure greater than 90 is classified as hypertension (high blood pressure). What proportion of women have hypertension?
- Is it unusual for a woman to have a blood pressure lower than 65?
a.

The proportion of women having blood pressure lower than
Answer to Problem 27E
Explanation of Solution
Given information:
In a study it was found that the diastolic blood pressure of adult women in US is normally distributed with mean
Formula used:
Formula for probability for normal distribution
where
Calculation:
Here mean
The proportion of population which is less than
Hence,
b.

The proportion of women having blood pressure between
Answer to Problem 27E
Explanation of Solution
Given information:
In a study it was found that the diastolic blood pressure of adult women in US is normally distributed with mean
Formula used:
Formula for probability for normal distribution
where
Calculation:
Here mean
The proportion of population which is between
Hence,
c.

The proportion of women who has hypertension i.e. having blood pressure higher than
Answer to Problem 27E
Explanation of Solution
Given information:
In a study it was found that the diastolic blood pressure of adult women in US is normally distributed with mean
A blood pressure higher than
Formula used:
Formula for probability for normal distribution
where
Calculation:
Here mean
The proportion of population which is greater than
Therefore,
d.

If it is unusual for a women to have blood pressure lower than
Answer to Problem 27E
Women having blood pressure less than
Explanation of Solution
Given information:
In a study it was found that the diastolic blood pressure of adult women in US is normally distributed with mean
Calculation:
Here mean
If given value is in between the
Here women having blood pressure less than
Therefore, women having blood pressure less than
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Chapter 7 Solutions
Elementary Statistics (Text Only)
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