Question

The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 feet.

what is the height of a peach tree with a z-score of -0.5?

Enter your answer rounded to the nearest tenth, in the box.

Answer 1

Z-score Formula: z = (x - μ)/σ

Plug in: -0.5 = (x - 12.5)/1.8

Solve: -0.5 * 1.8 = x - 12.5

-0.9 = x - 12.5

-0.9 + 12.5

x = 11.6

Therefore, the height of a peach tree with a z-score of -0.5 is 11.6 feet.

Answer 2

i think 1.8 not sure tho