Question

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 23 . 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

Answer 1

The systolic blood pressure of adults in the USA is normal with

a) The probability that an adult in the USA have stage 2 high blood pressure =

in percentage the answer will be 3.08% of adults in the USA have stage 2 high blood pressure

b) If we sample 2000 people, we can expect to have

c) The probability that an adult in the USA have stage 1 high BP is

In percentage 12.79% of adults in the US qualify for stage 1

d) let the score corresponding to the 30th percentile be A

Z critical value corresponding for 0.30 probability is -0.524

that means that

Systolic BP is 104.95