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Questions on Systolic Blood Pressure -
Elements of Statistics | MA 116, Exams of
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MA 116 – ELEMENTS OF STATISTICS
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Chapter 6 Normal Distribution – Systolic Blood Pressure
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For 18–24 year old women,
systolic blood pressures (in mm
Hg) are normally distributed with
a mean of 114.8 mm Hg and a
standard deviation of 13.1 mm Hg. a) Population: 18–24 year old women Variable:
a) Identify the population and the systolic blood pressure (in mm Hg) b) μ ± 2σ =
variable. b) Identify usual and 114.8 ± 2(13.1) = 114.8 ± 26.2 → [88.6, 141.0]
1 unusual systolic blood pressures Any systolic blood pressure reading which is
for this population according to outside of the above interval is considered to be
the range rule of thumb. c) If one unusual c) normalcdf(94,142,114.8,13.1) =
woman from this age group is 0.9249
randomly selected, what is the
probability that her systolic blood
pressure is between 94 and 142
mm Hg?
Using the same population as
Question 1, if one woman is z = (82 − 114.8)/13.1 ≈ −2.50 → P(Z < −2.50) =
2 randomly selected, what is the 0.0062 Calculator:
probability that her systolic blood normalcdf(−1E99,82,114.8,13.1) = 0.0062
pressure is less than 82 mm Hg?
3 For the same population, what is normalcdf(143,1E99,114.8,13.1) = 0.0139
the probability that a randomly