For a given standard error, the larger the difference between two point estimates the greater the p-value for a test of the equality of means.
For a given standard error, the larger the difference between two point estimates the greater the p-value for a test of the equality of means. (hint, try it with two sets of numbers and the same standard error and see which one has the larger p-value then look at it to see if that was a coincidence or if that will always be the case).
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