The systolic blood pressure of adults in the USA is nearly
normally distributed with a mean of 117 and standard deviation of
16 .
Someone qualifies as having Stage 2 high blood pressure if their
systolic blood pressure is 160 or higher.
a. Around what percentage of adults in the USA have stage 2 high
blood pressure? Give your answer rounded to two decimal
places.
%
b. If you sampled 2000 people, how many would you expect to have
BP> 160? Give your answer to the nearest person. Note: I had a
bit of an issue encoding rounded answers, so try rounding both up
and down if there's an issue!
people
c. Stage 1 high BP is specified as systolic BP between 140 and 160.
What percentage of adults in the US qualify for stage 1?
%
d. Your doctor tells you you are in the 30th percentile for blood
pressure among US adults. What is your systolic BP? Round to 2
decimal places.
lbs
a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.
z = (160-117)/16 = 2.69
P(z > 2.69) = 0.0036
0.36%
b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!
= 0.0036*2000
8 people
c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?
(140-117)/16 - (160-117)/16
P(z < 2.69) - P(z < 1.44) = 0.9964 - 0.9247 = 0.0717
7.17 %
d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.
-0.52 = (x-117)/16
108.61 lbs
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