Provide an Appropriate Response $95 \%$ Confidence Interval for the Population Mean

Multiple Choice

Provide an appropriate response.
-Construct a $95 \%$ confidence interval for the population mean, $\mu$ . Assume the population has a normal distribution. A random sample of 16 lithium batteries has a mean life of 645 hours with a standard deviation of 31 hours.

A) $( 628.5,661.5 )$
B) $( 876.2,981.5 )$
C) $( 531.2,612.9 )$
D) $( 321.7,365.8 )$