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 −0.5 ? Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

Mean = μ = 12.5

Standard deviation = σ = 1.8

z-score = - 0.5

Let the height of the Peach tree be x

Formula for Z -score = z =$\frac{x-\mu }{\sigma }$

Crossy multiply

z(σ) = x - μ

To find x add +μ on both sides

x = μ + z-score(σ)

x = 12.5 + (-0.5)(1.8)

x = 12.5 + (-0.9)

x= 12.5 - 0.9

x= 11.6 feet

So, the height of the Peach tree is 11.6 feet

Answer 2

The answer is 11.6...