Question

use the information shown below to fill in the blank so that the resulting statement is true. the percentage of scores between ( z = - 1.2 ) and ( z = 2.3 ) is ____. the percentage of scores between ( z = - 1.2 ) and ( z = 2.3 ) is

Explanation:

Step1: Understand the percentile concept

Percentile for \(z = - 1.2\) is \(11.51\) (meaning \(11.51\%\) of the data is below \(z=-1.2\)). Percentile for \(z = 2.3\) is \(98.93\) (meaning \(98.93\%\) of the data is below \(z = 2.3\)).

Step2: Calculate the percentage between the two \(z\) - scores

We use the formula \(P(-1.2<z<2.3)=P(z < 2.3)-P(z<-1.2)\)
Substitute the percentile values: \(98.93 - 11.51\)

Answer:

\(87.42\)