A magazine includes a report on the energy costs per year for 32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.90. Use a 99% level of confidence.

Assume the sample is from a normally distributed population and construct the indicated confidence intervals for

(a) The population variance σ2

(b) The population standard deviation σ. Interpret the results.