The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 69 hours. A random sample of 36 light bulbs indicated a sample mean life of 260 hours. Complete parts​ (a) through​ (d) below. Construct a ​99% confidence interval estimate for the population mean life of light bulbs in this shipment. The 99​% confidence interval estimate is from a lower limit of    enter your response here hours to an upper limit of    enter your response here hours. ​(Round to one decimal place as​ needed.)

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