Problem 4
Researchers recruit a random sample of n = 200 individuals to participate in a Phase II clinical trial of a new drug to address high blood pressure in a certain population. If the systolic blood pressure (SBP) in the population is normally distributed with mean = 120 mm Hg and standard deviation = 15 mm Hg, what proportion of individuals in the population have SBP higher than 139.5 mm Hg? Provide derivation.
a) Between 0.05 and 0.10
b) Between 0.10 and 0.20
c) Between 0.80 and 0.90
d) Between 0.90 and 0.95
e) <0.005
e) <0.005
mean= 120
sd= 15
n= 200
I know that, z = (X-mean)/(sd/sqrt(n))
z1 = (139.5-120)/(15/sqrt(200))
z1= 18.3848
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