A WHO study reported that in Canada, systolic blood pressure readings have a mea

Question

A WHO study reported that in Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading above 140 is considered high blood pressure. What is the z-score for a blood pressure reading of 140? If systolic blood pressure in Canada has a normal distribution, what proportion of Canadians suffers from high blood pressure? What proportion of Canadians has systolic blood pressure between 100 and 140? Find the systolic blood pressure of 99th percentile Find the systolic blood pressure such that only 1% of the population has an systolic blood pressure below it.

Explanation / Answer

Solution:

a. P(X < 140.0)

= P((x - 121) / 16.0) < (140.0 - 121) / 16.0)

= P(Z < 1.19)

= 0.8825

b. P(X>140)

=1- .8825

= .1175

c.P(100<X<140)

=P((100-121)/16 <(X-mean)/s <(140-121)/16)

=P(-1.31<Z<1.19)

=0.7879

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