A

**confidence interval for a population standard deviation**is a range of values that is likely to contain a population standard deviation with a certain level of confidence.The formula to calculate this confidence interval is:

Confidence interval = [√(n-1)s

^{2}/X^{2}_{α/2}, √(n-1)s^{2}/X^{2}_{1-α/2}]where:

- n: sample size
- s
^{2}: sample variance - X
^{2}: Chi-Square critical value with n-1 degrees of freedom

To find a confidence interval for a population standard deviation, simply fill in the boxes below and then click the “Calculate” button.

95% C.I. = [5.0637, 8.8119]

You can be 95% confident that the interval [5.0637, 8.8119] contains the true population standard deviation.