Question

In a standard Normal​ distribution, if the area to the left of a​ z-score is about 0.2000​, what is the approximate​ z-score? Draw a sketch of the Normal​ curve, showing the area and​ z-score.

Answer 1

The approximate z-score is -0.843.

Step-by-step explanation:

In a standard Normal​ distribution, if the area to the left of a​ z-score is about 0.2000​, the approximate​ z-score can be found by using the z-table. The z-table shows that a z-score of approximately -0.843 is associated with an area of 0.2000 to the left of it.

To draw a sketch of the Normal​ curve, we can plot the z-score on the x-axis and the corresponding area on the y-axis. The sketch will show the area to the left of the z-score.

Therefore, the approximate​ z-score is -0.843.