In: Statistics and Probability
What does it mean when there's an overlap in a 95% confidence interval? What does that imply about the amount of evidence for a difference in the populations means?
when there's an overlap in a 95% confidence interval, then the two confidence interval may or may not be significantly difference because overlapping does not necessarily means that there is no significant difference.
If the overlapping is large, then only we can conclude that there is no significant difference between the two confidence interval and if the overlapping is small or no overlapping, then we can conclude that there is a significant difference between the two confidence intervals.