Question

the year teresa graduated college, she got a job as an entry - level software engineer working for a firm in the united states. her starting salary was $68,000. for the year teresa graduated, the starting salaries of all entry - level software engineers in the united states had a mean of $70,000 and a standard deviation of $1100.
find the z - score of teresas starting salary relative to the starting salaries among all the entry - level software engineers in the united states for the year teresa graduated. round your answer to two decimal places.
z =

Explanation:

Step1: Recall the z - score formula

The formula for the z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Identify the values

Here, \(x = 68000\), \(\mu=70000\), and \(\sigma = 1100\).

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Step4: Calculate the value

\(z=\frac{-2000}{1100}\approx - 1.82\)

Answer:

\(-1.82\)