Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetime of the AAA batteries it produces. A random sample of 15AAA batteries produced by this manufacturer lasted a mean of 9.8hours with a standard deviation of 2.5hours. Find a 90%confidence interval for the population standard deviation of the lifetimes of AAA batteries produced by the manufacturer.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places.

What are the lower and upper limits of the 90% confidence interval