Final Answer:
B has the larger mean. The standard deviations of A and B are equal.
Step-by-step explanation:
The statement "B has the larger mean" can be inferred from the plot of normal distributions A and B by observing the peak or central tendency of each distribution. In a normal distribution, the mean represents the center of the distribution. Comparing the peaks of A and B, it's evident that distribution B has a higher peak, indicating a larger mean.
Regarding the statement "The standard deviations of A and B are equal," the spread or dispersion of data within a distribution is indicated by the standard deviation. From the plot, the widths of distributions A and B appear to be similar, suggesting that both distributions have the same variability or standard deviation.
In a normal distribution, the mean is the central point, and the standard deviation measures how spread out the data points are from the mean. Calculation of the mean and standard deviation could further confirm the observations made from the plot.
However, since the descriptions provided are based on visual comparison from the plot and no specific numerical data is given, the conclusion is drawn solely from the observation of the shapes and positions of the distributions. The larger mean in distribution B and the similar spread of data (reflected in similar widths) in both distributions support the selected answers.