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

Answer:

Mean = 49 inches

Standard deviation = 2 inches

Z Score for the Distribution = -1.5

Formula for , Z Score

$Z_{score}=\frac{X-\mu}{\sigma}\\\\ -1.5 =\frac{X- 49}{2}\\\\ X-49 = -1.5 \times 2\\\\ X= 49 -3\\\\ X=46$

So, Height in inches = 46 inch