When 3 points are added to each score in the population, the mean will also increase by 3 points. Here's the explanation:

• The original mean is $\mu = 30$.
• If you add a constant value (in this case, 3) to every score in the distribution, the mean of the new distribution will also increase by that constant.

Thus, the new mean is: $\mu_{\text{new}} = 30 + 3 = 33$

Therefore, the correct answer is 33.

Would you like more details on this concept or have any other questions?

Here are 5 related questions:

1. What happens to the standard deviation when a constant is added to every score in a population?
2. If each score in the population is multiplied by 2, what will happen to the mean?
3. What does it mean for a population to have a mean of 30?
4. How is the mean affected if both 3 points are added and the scores are then doubled?
5. What is the difference between population mean and sample mean?

Tip: Adding a constant to each score shifts the entire distribution without changing its shape or spread.