When the confidence interval for the difference between two means does not include zero when testing H0: µ1 - µ2 = 0, we have support that a significant difference between population means does exist.

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When the confidence interval for the difference between two means does not include zero, it suggests that the null hypothesis (H0: µ1 - µ2 = 0) is unlikely to be true, indicating a significant difference between the population means.

When the Confidence Interval for the Difference Between Two Means