Question

A normal distribution has μ = 30 and σ = 5.

(a) Find the z score corresponding to

x = 25.

(b) Find the z score corresponding to

x = 41.

(c) Find the raw score corresponding to

z = −3.

(d) Find the raw score corresponding to

z = 1.5.

Answer 1

solution

using z-score formula

z =X -/

z=25-30/5

z=-1

using z-score formula

z =X -/

z=41-30/5

z=2.2

Using z-score formula  

x= z * +

x= -3*5+30

x= 15

Using z-score formula  

x= z * +

x= 1.5*5+30

x= 37.5