In: Statistics and Probability
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 $3.61. Assume the sample is taken from a normally distributed population. Construct 90% confidence intervals for (a) the population variance σ² and (b) the population standard deviation σ.
Interpret the results.
(a) The confidence interval for the population variance is . ???
b) The confidence interval for population standard deviation is ???
Thanks!!!
a)
We know that the 90% confidence interval for population variance is given by:
b)
We know that the 90% confidence interval for population standard deviation is given by: