Question

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%

Answer 1

Answer:

Step-by-step explanation:

Given

Mean = $42,800

Standard deviation = $8,365

Sample = $45,000

We have:

`\begin{gathered} z=(8365-42800)/(45000) \\ \\ =-(34435)/(45000)=-0.7652 \end{gathered}`