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)s2/X2α/2, √(n-1)s2/X21-α/2]
where:
- n: sample size
- s2: sample variance
- X2: 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.
Excellent programming that makes complex statistics concepts very intuitive. Keep up the good work in public service!
Regards,
Gabriel S. Bomide, Ph.D.
New York, USA