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The City of Decatur finds that salaries for residents working in the technology sector follow an approximately normal distribution with a mean of $42,800 and a standard deviation of $8,365.Consider a salary of $45,000. Select the statements that are true about this salary.A) The percentage of residents working in the technology sector that earn less than this amount is about 40.13%.B) The Z-Score for this salary is 0.26.C) The Z-Score for this salary is -0.26.D) The percentage of residents working in the technology sector that earn less than this amount is about 59.87%

Respuesta :

Answer:

Explanation:

Given

Mean = $42,800

Standard deviation = $8,365

Sample = $45,000

We have:

[tex]\begin{gathered} z=\frac{8365-42800}{45000} \\ \\ =-\frac{34435}{45000}=-0.7652 \end{gathered}[/tex]

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