Question

systolic blood pressure readings for a population of adults are normally distributed with a mean of 115 and a standard deviation of 20 (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 105. 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 formula for the z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Substitute the given values into the formula

We are given \(x = 105\), \(\mu=115\), and \(\sigma = 20\).

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Answer:

\(-0.5\)