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 amounts (in ounces) of juice in eight randomly selected juice bottles are: $\begin{array} { l l l l } 15.2 & 15.1 & 15.9 & 15.5 \end{array}$
$\begin{array} { l l l l l } 15.6 & 15.1 & 15.8 & 15.0 \end{array}$
Find a $98 \%$ confidence interval for the population standard deviation $\sigma$ .

A) $0.21 \mathrm { oz } < \sigma < 0.71 \mathrm { oz }$
B) $0.20 \mathrm { oz } < \sigma < 0.71 \mathrm { oz }$
C) $0.21 \mathrm { oz } < \sigma < 0.82 \mathrm { oz }$
D) $0.22 \mathrm { oz } < \sigma < 0.86 \mathrm { oz }$