95% confidence interval on the mean

[eterna]

Homework Statement

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?

Homework Equations

The Attempt at a Solution

 

[Ray Vickson]

Homework Statement

What does it mean?

Does this mean 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?

Homework Equations

The Attempt at a Solution

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".

 

[eterna]

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".

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

 

[Ray Vickson]

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

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