Question

Suppose you create a 95% confidence interval for a mean, and get (10, 20). You've been told to report this by saying something like, "We are 95% confident that the true mean is between 10 and 20." Exactly what does this mean?

Answer 1

When we create a 95% confidence interval for a mean, it means that we are 95% confident that the true mean of the population falls within the interval we calculated.

Step-by-step explanation:

When we create a 95% confidence interval for a mean, it means that we are 95% confident that the true mean of the population falls within the interval we calculated. In this case, the interval is (10, 20), so we can say, 'We are 95% confident that the true mean is between 10 and 20.'

This confidence level of 95% means that if we were to repeat the sampling process multiple times and calculate the confidence interval each time, 95% of the intervals would contain the true population mean.