Question

Find the​ z-score that has 72.2​% of the​ distribution's area to its right. The​ z-score is

Answer 1

The​ z-score that has 72.2​% of the​ distribution's area to its right is z=-0.58879.

Explanation:

To find the z-score that has 72.2% of the distribution's area to its right, we have to find z* that satisfies this condition:

`P(z>z^*)=0.722`

This can also be written as:

`P(z<z^*)=1-0.722=0.278`

This can be looked up in the z-score table or in an applet.

The​ z-score that has 72.2​% of the​ distribution's area to its right is z=-0.58879.

The curve is attached with this example.