When interpreting confidence intervals when there are three or more means, if the intervals overlap such that the sample mean of one group lies within the interval of another group, we may conclude that

There is no consistent difference between the means of each group

Explanation:

A confidence interval is a range of values that are likely to include a population's mean up to a certain degree of confidence. This allows us to generalize results from samples to populations. If two groups we are comparing overlap in their confidence intervals, we cannot say for certain that there is a difference between the population's means.

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