Overlapping Confidence Intervals: Part II

In my earlier post on Overlapping Confidence Intervals I asked what we can learn from the overlap, or lack thereof, between confidence intervals for two population means constructed using independent samples. To recap: if the individual confidence intervals for groups A and B do not overlap, there must be a statistically significant difference between the population means for the two groups. In other words, the interval for the difference of means will not include zero. If the individual interva