Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X  N (µ, σ²), then
 N (µ, σ²), then   , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).
 N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Thus, the z-score for an income of $2,100 is 1.
 
        
             
        
        
        
        
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