systolic blood pressure readings for a population of adults are normally distributed with a mean of 117 and…

systolic blood pressure readings for a population of adults are normally distributed with a mean of 117 and a standard deviation of 10. (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 above 116. click the icon to view the table of z - scores and percentiles. the z - score is . (type an integer or a decimal.)
Answer
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 values
We are given that $\mu = 117$, $\sigma=10$, and $x = 116$.
Step3: Calculate z - score
Substitute the values into the formula: $z=\frac{116 - 117}{10}=\frac{-1}{10}=- 0.1$
Answer:
$-0.1$