Question

systolic blood pressure readings for a population of adults are normally distributed with a mean of 125 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 below 140
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 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 \(x = 140\), \(\mu=125\), and \(\sigma = 10\). Then \(z=\frac{140 - 125}{10}\).

Step3: Calculate the z - score

\(z=\frac{15}{10}=1.5\)

Answer:

\(1.5\)