The quality control manager at a light-bulb factory needs to estimate the mean life of a new type of light-bulb. The population standard deviation is assumed to be 65 hours. A random sample of 40 light-bulbs shows a sample mean life of 505 hours. Construct and explain a 95{58c50e6204e66a2fb38b62b794f668df19a01f244e0d370252913e7b0d8d6892} confidence interval estimate of the population mean life of the new light-bulb