If you construct a 95% confidence interval around a sample mean and the 95% CI does not include the population mean, what would this suggest?
A) the observed mean is significant larger than the population mean
B) the observed mean is significantly smaller than the population mean
C) the observed mean is significantly different from the population mean
D) the observed mean is not significantly different from the population mean.

Question

Quizplus · Accepted Answer

If a 95% confidence interval around a sample mean does not include the population mean, it suggests that the observed mean is significantly different from the population mean. This is because the confidence interval is a range within which we are 95% confident the true population mean lies. If the population mean is outside this interval, it indicates a significant difference.

If You Construct a 95% Confidence Interval Around a Sample