Question

A population has a mean of u = 60 and a standard

deviation of o = 12

a. For this population, find the z-score for each of

the following X values.

X = 69 X = 84 X = 63

X = 54 X = 48 X = 45

Answer 1

Part a)
Standardizing the value
Z = ( X - µ ) / σ
Z = ( 69 - 60 ) / 12
Z = 0.75

Part b)
Standardizing the value
Z = ( X - µ ) / σ
Z = ( 84 - 60 ) / 12
Z = 2

Part c)
Standardizing the value
Z = ( X - µ ) / σ
Z = ( 63 - 60 ) / 12
Z = 0.25

Part d)
Standardizing the value
Z = ( X - µ ) / σ
Z = ( 54 - 60 ) / 12
Z = -0.5

Part e)
Standardizing the value
Z = ( X - µ ) / σ
Z = ( 48 - 60 ) / 12
Z = -1

Part f)
Standardizing the value
Z = ( X - µ ) / σ
Z = ( 45 - 60 ) / 12
Z = -1.25