Analyses 1 and 2 give the same estimated difference (6.86 seconds), but Analysis 1 has a much larger p-value and a wider interval. What explains this?

Question

Answer

Analysis 2 is one-sided, so its p-value is half the p-value of Analysis 1 here.

Answer

Analysis 1 uses medians instead of means, so its standard error is much larger.

Answer

Analysis 2 uses fewer observations, so its degrees of freedom are much smaller.

Answer

Analysis 1 includes speed differences between people, which Analysis 2 removes.

Answer

Analysis 1 uses the log of the times, so its estimate is on a different scale.

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Analyses 1 and 2 give the same estimated difference (6.86 seconds), but Analysis...

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