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 the same number of decimal places as the sample standard deviation.
-Weights of men: $90 \%$ confidence; $\mathrm { n } = 14 , \overline { \mathrm { x } } = 154.8 \mathrm { lb } , \mathrm { s } = 11.1 \mathrm { lb }$

A) $8.7 \mathrm { lb } < \sigma < 14.3 \mathrm { lb }$
B) $8.2 \mathrm { lb } < \sigma < 15.6 \mathrm { lb }$
C) $9.0 \mathrm { lb } < \sigma < 2.7 \mathrm { lb }$
D) $8.5 \mathrm { lb } < \sigma < 16.5 \mathrm { lb }$