Construct A $99 \%$ Confidence Interval for the Population Standard Deviation $\sigma$

Multiple Choice

Construct a $99 \%$ confidence interval for the population standard deviation $\sigma$ if a sample of size 11 has standard deviation $s = 15$ .

A) $9.45 < \sigma < 32.31$
B) $9.17 < \sigma < 29.40$
C) $9.85 < \sigma < 29.66$
D) $9.62 < \sigma < 30.83$