Business, 19.12.2020 19:50 giavanleer14

In a study of hypertension and optimal treatment conducted by the National Heart Institute, 10,000 patients had a mean systolic blood
pressure, = mm Hg and standard deviation, = mm Hg.
Assume the systolic blood pressure is normally distributed.
a) What is the probability of patients with a systolic blood
pressure of more than 180 mm Hg?
b) How many patients will have a systolic BP of more than 180
mm Hg?
c) What is the probability of patients with a systolic blood
pressure between 145 and 160 mmHg?
d) If 60 random samples each of size 30 are drawn from this
population, determine:
i. the sampling distribution of the mean systolic blood
pressure.
ii. the probability that the of mean systolic blood pressure
will be less than 165 mmHg.

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