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Chapter 2: Q 56. (page 140)

Blood pressure According to a health information website, the distribution of adults鈥� diastolic blood pressure (in millimeters of mercury) can be modeled by a Normal distribution with mean 70and a standard deviation 20A diastolic pressure above 100Around 6.68% of the adults have very high blood pressure according to the criterion. for an adult is classified as very high blood pressure. About what proportion of adults have very high blood pressure according to this criterion?

Short Answer

Expert verified

Around 6.68% of the adults have very high blood pressure according to the criterion.

Step by step solution

01

Given information

Diastolic pressure value,x=100

Mean,渭=70

Standard deviation,蟽=20

02

Concept

The formula used:z=x鈭�渭蟽

03

Calculation

Calculate the Z鈭�score,

z=x鈭�渭蟽=100鈭�7020=1.50

To find the equivalent probability, use the normal probability table in the appendix.

The usual normal probability table for P(z<0.80) has a row that starts with 1.5 and a column that starts with.00

P(x>100)=P(z<1.50)=1鈭�P(z>0.80)=1鈭�0.9332=0.0668=6.68%

Therefore,

Around 6.68percent of persons have a diastolic pressure greater than100 which is considered extremely high blood pressure.

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