Use the Given Degree of Confidence and Sample Data to Find

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation ?.
Assume that the population has a normal distribution. Round the confidence interval limits to one more decimal place than is used for the original set of data.
-The daily intakes of milk (in ounces) for ten randomly selected people were:
$$\begin{array} { l l l l l } 10.2 & 18.0 & 31.7 & 28.7 & 16.9 \\24.9 & 29.5 & 15.5 & 25.0 & 15.8\end{array}$$
Find a $99 \%$ confidence interval for the population standard deviation $\sigma$ .

A) $0.96 \mathrm { oz } < \sigma < 3.53 \mathrm { oz }$
B) $4.33 \mathrm { oz } < \sigma < 14.83 \mathrm { oz }$
C) $4.48 \mathrm { oz } < \sigma < 16.51 \mathrm { oz }$
D) $4.48 \mathrm { oz } < \sigma < 14.83 \mathrm { oz }$