Question: Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the same number of decimal places as the sample mean.

A random sample of 105 light bulbs had a mean life of \(\bar{X}=441\) hours with a standard deviation of \(\sigma =40\) Construct a 90% confidence interval for the mean life, μ, of all light bulbs of this type.