Question

systolic blood pressure readings for a population of adults are normally distributed with a mean of 123 and a standard deviation of 16. (a reading above 140 is considered to be high blood pressure.) begin by converting the given blood pressure reading into a z - score. then use the accompanying table of z - scores and percentiles to find the percentage of people with blood pressure readings below 155. click the icon to view the table of z - scores and percentiles. the z - score is . (type an integer or a decimal.)

Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value from the data set, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify the values of $x$, $\mu$, and $\sigma$

We are given that $x = 155$, $\mu=123$, and $\sigma = 16$.

Step3: Calculate the z - score

Substitute the values into the formula: $z=\frac{155 - 123}{16}=\frac{32}{16}=2$.

Answer:

2