Question

A normal distribution has μ = 24 and σ = 5.

(a) Find the z score corresponding to

x = 19.

(b) Find the z score corresponding to

x = 37.

(c) Find the raw score corresponding to

z = −2.

(d) Find the raw score corresponding to

z = 1.7.

Answer 1

solution:

using z score formula

a.

x = 19.

z=(x -) /

=19-24 /5

=-1

b.

x = 37

z=(x -) /

=37-24 /5

=2.6

c.

x = z +

x = -2*5+24

x = 14

d.

x = z +

x = 1.7*5+24

x = 32.5