The lifetime of a certain brand of battery is known to have a standard deviation of16 hours. Suppose that a random sample of70such batteries has a mean lifetime of40.3hours. Based on this sample, find a99% confidence interval for the true mean lifetime of all batteries of this brand. Then give its lower limit and upper limit.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.

Lower limit:__

Upper limit:__