The Mean Replacement Time for a Random Sample of 12 $8.6$

Multiple Choice

The mean replacement time for a random sample of 12 CD players is $8.6$ years with a standard deviation of $4.4$ years. Construct the $99 \%$ confidence interval for the population variance, $\sigma ^ { 2 }$ . Assume the data are normally distributed, and round to the nearest hundredth when necessary.

A) $( 1.81,18.59 )$
B) $( 2.82,9.04 )$
C) $( 7.96,81.81 )$
D) $( 8.61,69.74 )$