A Random Sample of 15 Crates Have a Mean Weight $165.2$

Multiple Choice

A random sample of 15 crates have a mean weight of $165.2$ pounds and a standard deviation of $13.5$ pounds. Construct a $95 \%$ confidence interval for the population standard deviation $\sigma$ . Assume the population is normally distributed, and round to the nearest hundredth when necessary.

A) $( 9.88,21.29 )$
B) $( 10.38,19.71 )$
C) $( 97.69,453.3 )$
D) $( 2.69,5.79 )$