Question

use the accompanying table of z - scores and percentiles to find the percentage of data items in a normal distribution that lie a. below and b. above a z - score of - 0.55
click the icon to view the table of z - scores and percentiles

a. the percentage of data items that lie below the z - score is %
(round to two decimal places as needed)

Explanation:

Step1: Locate the z - score in the table

We look for the row corresponding to \(z=-0.5\) and the column corresponding to \(0.05\) (since \(z=-0.55=-0.5 - 0.05\)).

Step2: Read the percentile value

From the standard z - score and percentile table, the value corresponding to \(z =- 0.55\) is \(0.2912\).

Answer:

\(29.12\)