Respuesta :

Solution:

Given the z-score formula;

[tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]

And given the parameters;

[tex]\begin{gathered} \bar{x}=11.9,\mu=27.8,\sigma=5.8 \\ \\ \end{gathered}[/tex]

Thus;

[tex]\begin{gathered} z=\frac{11.9-27.8}{5.8} \\ \\ z=-\frac{15.9}{5.8} \\ \\ z=-2.74 \end{gathered}[/tex]

ANSWER:

[tex]z=-2.74[/tex]

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