ANSWER:

To find the salary corresponding to a z-score of −1, use the z-score formula rearranged to solve for the raw score $X$:

$$X = \mu + (z \times \sigma)$$

Where:

• $\mu = 80{,}000$ (mean salary)

• $\sigma = 5{,}000$ (standard deviation)

• $z = -1$

$$X = 80{,}000 + (-1 \times 5{,}000)$$ $$X = 80{,}000 - 5{,}000 = 75{,}000$$

✅ Answer: The salary at a z-score of −1 is $75,000.