The lifetime of a certain brand of battery is known to have a standard deviation of 11.5 hours. Suppose that a random sample of 60 such batteries has a mean lifetime of 43.2 hours. Based on this sample, find a 90% 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. (If necessary, consult a list of formulas.) Lower limit: X ? Upper limit