From the description of the two normal distributions:

1. A and B are centered at the same point, meaning that their means are equal. So, the correct statement is:

   • The means of A and B are equal.

2. B is narrower and taller, while A is wider. This suggests that B has a smaller standard deviation (because narrower distributions have smaller standard deviations), and A has a larger standard deviation (because wider distributions have larger standard deviations). So, the correct statement is:

   • A has the larger standard deviation.

Therefore, the correct answers are:

• The means of A and B are equal.
• A has the larger standard deviation.

Would you like more details or have any questions?

Here are 5 related questions that expand on the concept:

1. How does the standard deviation affect the shape of a normal distribution?
2. What is the relationship between the mean and the median in a symmetric normal distribution?
3. How would you calculate the mean and standard deviation from a given dataset?
4. What is the probability of a data point lying within one standard deviation of the mean in a normal distribution?
5. How do z-scores relate to the standard deviation in a normal distribution?

Tip: A narrower distribution indicates that data points are more concentrated around the mean, meaning a smaller standard deviation.