In developing a confidence interval for the population standard deviation $\sigma$
,we make use of the fact that the sampling distribution of the sample standard deviation s is not the normal distribution or the t-distribution,but rather a right-skewed distribution called the chi-square distribution,which (for this procedure)has n - 1 degrees of freedom.

Question

In developing a confidence interval for the population standard deviation $\sigma$ 
,we make use of the fact that the sampling distribution of the sample standard deviation s is not the normal distribution or the t-distribution,but rather a right-skewed distribution called the chi-square distribution,which (for this procedure)has n - 1 degrees of freedom.

Quizplus · Accepted Answer

The chi-square distribution is used for constructing confidence intervals for the population standard deviation because the sample variance follows a chi-square distribution with n - 1 degrees of freedom.

In Developing a Confidence Interval for the Population Standard Deviation σ\sigmaσ

In Developing a Confidence Interval for the Population Standard Deviation $\sigma$