A baseball coach gives half his players an energy drink to consume before each game; the other half does not receive the energy drink. After a month of games, he analyzes their playing stats. He concludes the energy drink helped improve their performance on the field. How can the coach test the means to be sure his results are not likely to happen by chance?
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He can pick players at random and analyze their playing stats without calculating means.
He can analyze the two groups by calculating the means and the difference of the means.
He can pick the players he wants to analyze based on the best stats.
He can rerandomize the results by separating the two groups randomly, then calculate the means and the difference of the means.