Provide an Appropriate Response $99 \%$ Confidence Interval for the Population Mean

Multiple Choice

Provide an appropriate response.
-Construct a $99 \%$ confidence interval for the population mean, $\mu$ . Assume the population has a normal distribution. A group of 19 randomly selected employees has a mean age of $22.4$ years with a standard deviation of $3.8$ years.

A) $( 19.9,24.9 )$
B) $( 16.3,26.9 )$
C) $( 17.2,23.6 )$
D) $( 18.7,24.1 )$