Question

systolic blood pressure readings for a population of adults are normally distributed with a mean of 119 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 143.
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 dataset, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $x = 143$, $\mu=119$, and $\sigma = 16$.

Step3: Substitute values into formula

Substitute the values into the z - score formula: $z=\frac{143 - 119}{16}$.
First, calculate the numerator: $143-119 = 24$.
Then, divide by the standard deviation: $z=\frac{24}{16}=1.5$.

Answer:

1.5