A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that1 4 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.87.

Assume the sample is taken from a normally distributed population. Construct 95% confidence intervals for (a) the population variance 2 and (b) the population standard deviation .

Interpret the results.

(a) The confidence interval for the population variance is