When a figure shows means and bars showing the 95% confidence interval, and the range defined by the bars in one group overlaps the mean of the other, then the results of a t-test would always fail to reject the null hypothesis that the means are equal.

Question

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If the range defined by the bars in one group overlaps the mean of the other, then the means are not significantly different from each other at the 95% confidence level. Therefore, a t-test would fail to reject the null hypothesis that the means are equal.

When a Figure Shows Means and Bars Showing the 95