1. The problem asks to find the particular value $y$ corresponding to a given z-score $z = -2.237$, with standard deviation $sd = 5.43$ and mean $\mu = 24$. 2. The formula to find the value $y$ from a z-score is: $$y = \mu + z \times sd$$ This formula comes from the definition of a z-score, which measures how many standard deviations a value is from the mean. 3. Substitute the given values into the formula: $$y = 24 + (-2.237) \times 5.43$$ 4. Calculate the product: $$-2.237 \times 5.43 = -12.14691$$ 5. Add this to the mean: $$y = 24 - 12.14691 = 11.85309$$ 6. Round the answer to 3 decimal places as requested: $$y \approx 11.853$$ Therefore, the particular value corresponding to the z-score is $\boxed{11.853}$.