Question

Zach has a z-score of -1.5
What is his height in inches

Answer 1

Multiply the z-score by the standard deviation:

2 x -1.5 = -3

Now add that to the mean:

49 + -3 = 46 inches.

Answer 2

Mean = 49 inches

Standard deviation = 2 inches

Z Score for the Distribution = -1.5

Formula for , Z Score

`Z_(score)=(X-\mu)/(\sigma)\\\\ -1.5 =(X- 49)/(2)\\\\ X-49 = -1.5 * 2\\\\ X= 49 -3\\\\ X=46`

So, Height in inches = 46 inch