The mean for the loud-music group is 2.64 seconds, and the mean for the silent group is 3.22 seconds. The data for both groups is combined, 25 reaction times are selected at random, and the mean of these reaction times is compared to the mean of the remaining 25 reaction times. This process is repeated 14 times. The means for the groups are summarized in the table. Is the difference in the mean reaction times from the original experimental groups likely due to chance, or is there evidence that the music has an effect on reaction time? Explain your reasoning.
