QUESTION IMAGE
Question
blood pressure
use the following information to answer the questions:
systolic blood pressure readings for a population of adults are
normally distributed with a mean of 120 and a standard deviation
of 15. (a reading above 140 is considered to be high blood
pressure.)
part a
what is the z - score of a person with a blood pressure reading
of 165?
a 1.5
b 2
c 2.66
d 3
e 5
part b
what percent of people have a blood pressure reading lower
than 165?
Step1: Recall the z - score formula
The z - score formula is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the value, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.
Step2: Substitute the given values into the formula
Given \(\mu = 120\), \(\sigma=15\), and \(x = 165\).
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D. 3