Question

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 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. **Please
explain how to find this in the calculator step by
step.**

Note: I had a bit of an issue encoding rounded answers, so try
rounding both up and down if there's an issue!

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 that you are in the 30th percentile for
blood pressure among US adults. What is your systolic BP? Round to
2 decimal places.

Answer #1

Given in the question:

Mean = 122

Standard deviation = 16

Solution(a)

We need to calculate P(Xbar>=160) = 1-P(Xbar<160)

Z = (160-122)/16 = 2.375

from Z table we found p-value

P(Xbar>=160) = 1- 0.9913 = 0.0087

Solution(b)

If sample size = 2000

so there is (2000*0.0087) = 17.4 or 17 people who have
bp>160

Solution(c)

P(140<Xbar<160) = P(Xbar<160) - P(Xbar<140)

Z = (160-122)/16 = 2.375

Z = (140-122)/16 = 1.125

So from Z table we found p-value

P(140<Xbar<160) = 0.9913 - 0.8708 = 0.1205

Solution(d)

Given in the question P-value = 0.3

from Z table Z-score = -0.52

So -0.52 = (Xbar-122)/16

-8.32 = Xbar -122

Xbar = 113.68

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a. Around what percentage of adults in the USA have stage 2 high
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places.
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normally distributed with a mean of 121 and standard deviation of
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%
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normally distributed with a mean of 119 and standard deviation of
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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
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blood pressure? Give your answer rounded to two decimal
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