Find the Confidence Interval Specified $\bar { x } = 595$

Multiple Choice

Find the confidence interval specified.
-A random sample of 110 light bulbs had a mean life of $\bar { x } = 595$ hours. Assume that $\sigma = 31$ hours. Construct a $90 \%$ confidence interval for the mean life, $\mu$ , of all light bulbs of this type.

A) $590.1$ to $599.9$ hours
B) $587.4$ to $602.6$ hours
C) $588.1$ to $601.9$ hours
D) $589.2$ to $600.8$ hours