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use the information shown below to fill in the blank so that the result…

Question

use the information shown below to fill in the blank so that the resulting statement is true.
the percentage of scores greater than z = - 1.2 is ______.

the percentage of scores greater than z = - 1.2 is

Explanation:

Step1: Understand the percentile concept

A percentile represents the percentage of scores that are less than or equal to a particular \(z -\)score. For \(z=-1.2\), the percentile is \(11.51\), which means \(11.51\%\) of the scores are less than or equal to \(z =- 1.2\).

Step2: Calculate the percentage of scores greater than \(z=-1.2\)

We know that the total percentage of all scores is \(100\%\). Let \(P\) be the percentage of scores greater than \(z=-1.2\). Using the formula \(P=100\%-\text{Percentile of }z =-1.2\).
Substitute the percentile value: \(P = 100 - 11.51\).

Answer:

\(88.49\%\)