Question

Based on the dotplot of the simulation results and the sample of 20 adults, which conclusion can be made?

a) The actual probability that an adult cannot swim is only 12%.
b) It is clear that exactly 5 out of 20 adults will be nonswimmers.
c) If we continued to take more samples of 10 adults, the center of the distribution would shift to 2.
d) There is about a 12% chance of 2 or fewer nonswimmers in a group of 20. This is not unusual and is not convincing evidence that the true probability that an adult cannot swim is less than 25%.

Answer 1

The question appears to involve interpreting a dotplot or simulation results related to probabilities in a statistical context. However, we cannot provide a specific conclusion without the exact dotplot or result data. General principles suggest that the likelihood of an event is inferred from the clustering of simulated data or sample observations.

Step-by-step explanation:

The student's question appears to involve interpreting simulation results or probabilities based on a given dotplot or sample data. As no specific dotplot or result data is provided, we cannot directly answer which conclusion can be made.

For example, if a simulation result showing the number of nonswimmers among groups of 20 adults regularly clusters around 5, it might imply that the proportion of adults who cannot swim is around 25% (5 out of 20).

Without the specific dotplot, we cannot determine whether the true probability that an adult cannot swim is less than 25%, or any other specific conclusions. It requires analyzing the actual simulation distribution and evaluating if the observed data is consistent with the hypothetical probability.