Final answer:
The inclusion of 0 within a confidence interval for the difference between two population means suggests that there may be no significant difference between the population means.
Step-by-step explanation:
If the confidence interval for the difference in population means μ1-μ2 includes 0, it suggests that there may be no significant difference between the two population means.
This is because the interval estimate includes the value where the difference between the means is zero, indicating that the null hypothesis (that there is no difference) cannot be rejected at the chosen level of confidence.
To further illustrate this with an example, if we say that the 95 percent confidence interval for the mean difference is (-0.5, 0.5), there is a 95 percent chance that the true value of the difference in population means falls within this range, which includes zero.