# What does a 95% versus a 99% confidence interval mean for a given estimate?

##### 1 Answer

It is the probability value of an inferenced population mean likely to fall with in a given range.

#### Explanation:

From the sample mean

The upper limit of the mean is given by

The lower limit of the mean is given by

Where -

If the confidence level is

If the confidence level is

With an increase in confidence level the chance of population mean to fall within the range is high.

You must understand the confidence level doesn't stand for accuracy in estimate.

Higher the confidence level less is the accuracy.