Question

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.

Answer 1

Using the normal distribution, it is found that your systolic blood pressure is of 110.45.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

• The z-score measures how many standard deviations the measure is above or below the mean.

• Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

$\mu = 122, \sigma = 22$.

The 30th percentile is X when Z = -0.525, hence your BP is given as follows.

$Z = \frac{X - \mu}{\sigma}$

$-0.525 = \frac{X - 122}{22}$

X - 122 = -0.525 x 22

X = 110.45.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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