# 95% confidence interval on the mean

1. Mar 24, 2014

### eterna

1. The problem statement, all variables and given/known data

What does it mean?

Is this the interval such that 95% of the means from a sample mean distribution (frequency distribution of means of sample size n) are a certain number of standard deviations from the population mean?

2. Relevant equations

3. The attempt at a solution

Last edited: Mar 24, 2014
2. Mar 24, 2014

### Ray Vickson

A 95% confidence interval is an interval that has a 95% chance of overlapping the true, unknown population mean μ. In other words, if you were to repeat the sampling experiment many times you would get many different intervals, but about 95% of them would contain the true mean somewhere inside them. See, eg., http://en.wikipedia.org/wiki/Confidence_interval and look especially at the section entitled "Meaning and Interpretation".

3. Mar 24, 2014

### eterna

so was what I said a completely wrong way of thinking about it?

4. Mar 25, 2014

### Ray Vickson

I could not make any sense of what you were saying.