In order to find the z-score for the value 34000, we can use the formula:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
Where μ is the mean and σ is the standard deviation.
So using x = 34000, μ = 38000 and σ = 2250, we have:
[tex]Z=\frac{34000-38000}{2250}=-\frac{4000}{2250}=1.78[/tex]
So the z-score for the value 34000 is 1.78.
