Question

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 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 12 % 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

Answers:

a) 4.55% of adults in USA have stage 2 high blood pressure.

b) There is 91 expected number of adults in sample of 2000 who have BP>160

c) 16.06% of adults in USA qualify for stage 1.

d) Systolic blood pressure of adult who is 30th percentile for blood pressure among US adult is 109.04 lbs

Complete solution is given in attached images:

Data let. XE Systolie blood pressure of adult. hive XNN 121,23) al Probability of adults of adults having stage having stage a high blood pressure P (x2160) (x=127 , 160-121 P 22 23 Z N NNO,1) - P (23 Z> 1.6956) 0.0455 0.0455 4:55 2 of adults high blood pressure Therefore in JS A have stage 2 2 2000 - 16 If we Sample people, then expected number of adults having BP7160 2000 * p ( x2160) 2000 * 0.0455 =91 Therefore, there is 91 expected number of adults in Sample of 2000 who have to BP7160 c) Stage! high BP specified as systolic between 140 & 160 :. Probability of adults in Us qualify for p (140 < x 2160) (140-121 160-121 Р < - 121 Stage 2 23 23 =p (0.8260 < Z < 1.6956) ZN NO.1) = P(221-6956) - P(Z 20.8260)

0.7933 0.35us. 0.1606 16.06% Therefore, adults in us of 1 qualify for stage al th we 30 adulte. riven, are percentile of blood pressure of .05 P(x < 30) Xzo - 121 E 0:30 X-121 P L - 0:30 *3.-27 코 1-003 - 23 » X30-121 ZO. X3.-121 - -0-52 23 =) X30 = 109.04 lbs Therefore, systolie blood pressure for adult who is percentile log.o4 lbs. 30th

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