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 σ.
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: $\begin{array}{lllll}23.3 & 28.4 & 10.5 & 16.4 & 26.4\end{array}$
$\begin{array}{lllll}18.1 & 20.4 & 17.3 & 27.4 & 13.2\end{array}$

Find a $99 \%$ confidence interval for the population standard deviation $\sigma$ .

A) $3.66 \mathrm { oz } < \sigma < 12.53 \mathrm { oz }$
B) $0.88 \mathrm { oz } < \sigma < 3.38 \mathrm { oz }$
C) $3.78 \mathrm { oz } < \sigma < 13.95 \mathrm { oz }$
D) $3.78 \mathrm { oz } < \sigma < 12.53 \mathrm { oz }$