A scientist compares a randomization distribution that shows chance outcomes with a randomization distribution showing data from several trials of an experiment. She notices that the means of the two randomization distributions are the same. What should the scientist conclude?(1 point) Responses The explanatory variable had a big effect on the response variable. The explanatory variable had a big effect on the response variable. The scientist cannot make a conclusion from the similarity of the two distributions. The scientist cannot make a conclusion from the similarity of the two distributions. The experimental results are most likely due to chance. The experimental results are most likely due to chance. The explanatory variable had a slight effect on the response variable.

Question

GPT-4o mini · Answer

The most appropriate conclusion for the scientist to make from the observation that the means of the two randomization distributions are the same is:

The scientist cannot make a conclusion from the similarity of the two distributions.

This is because the similarity in means does not provide enough evidence to determine the effect of the explanatory variable on the response variable. It is possible that the results could still be due to chance, or that the lack of difference in means does not adequately reflect the relationships in the data. To draw a robust conclusion, further analysis and consideration of additional factors would be necessary.