If the limits of the confidence interval of the difference between the means of two normally distributed populations were from -2.6 and 1.4 at the 95% confidence level,then we can conclude that we are 95% certain that there is a significant difference between the two population means.

Question

Quizplus · Accepted Answer

The statement "we are 95% certain that there is a significant difference between the two population means" is incorrect because a confidence interval only provides information about the precision of the sample estimate and not about whether the difference is statistically significant or not. Additionally, the confidence interval includes 0, which suggests that there may not be a significant difference between the means. Therefore, it is not appropriate to conclude that there is a significant difference based solely on the confidence interval.

If the Limits of the Confidence Interval of the Difference