Provide an Appropriate Response $67.5$ Inches and a Standard Deviation Of $2.9$

Provide an appropriate response.
-Assume that the heights of bookcases are normally distributed. A random sample of 16 bookcases in one company have a mean height of $67.5$ inches and a standard deviation of $2.9$ inches. Construct a $99 \%$ confidence interval for the population standard deviation, $\sigma$ .

A) $( 2.0,5.2 )$
B) $( 2.0,5.4 )$
C) $( 1.2,3.1 )$
D) $( 2.0,4.9 )$