Question

A normal distribution has μ = 34 and σ = 5. (a) Find the z score corresponding to x = 29. (b) Find the z score corresponding to x = 46. (c) Find the raw score corresponding to z = −3. (d) Find the raw score corresponding to z = 1.5.

Answer 1

a

using z-score formula

z =X -/

z=29-34/5

z=-1

b

using z-score formula

z =X -/

z=46-34/5

z=2.4

c

Using z-score formula  

x= z * +

x= -3*5+34

x= 19

d

Using z-score formula  

x= z * +

x= 1.5*5+34

x= 41.5