Question

# Assume the sample is from a normally distributed population and construct the indicated confidence intervals for (a) the population variance \sigma^{2

Confidence intervals
Assume the sample is from a normally distributed population and construct the indicated confidence intervals for (a) the population variance $$\displaystyle\sigma^{{{2}}}$$ and (b) the population standard deviation $$\displaystyle\sigma$$. Interpret the results. The maximum wind speeds (in knots) of 13 randomly selected hurricanes that have hit the U.S. mainland are listed. Use a 95% level of confidence. $$\begin{matrix} 70 & 85 & 70 & 75 & 100 & 100 & 110 & 105 & 130 & 75 & 85 & 75 & 70 \end{matrix}$$