Question: Construct a data set for which the paired t-test statistic is very large, but for which the usual two-sample or pooled t-test statistic is small.

Construct a data set for which the paired t-test statistic is very large, but for which the usual two-sample or pooled t-test statistic is small. In general, describe how you created the data. Does this give you any insight regarding how the paired t-test works?

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