Question

Use Table A to find the value $z$from the standard Normal distribution that satisfies each of the following conditions. In each case, sketch a standard Normal curve with your value of $z$marked on the axis.

5. $45\%$of all observations are greater than $z.$

Short answer

The value of $z$is $0.13.$And the standard Normal curve is,

Step-by-step solution

Given Information 

Given that, $45\%$of all observations are greater than $z,$

The value of$z=?$

Explanation 

Using standard normal $\left(z\right)$table,

$$\begin{gathered} P(Z>z)=45\% \\ 1-P(Z<z)=0.45 \\ P(Z<z)=1-0.45 \\ P(Z<z)=0.55 \\ P(Z<0.13)=0.55 \\ z=0.13 \end{gathered}$$

The graphical representation is,