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 the same number of decimal places as the sample standard deviation.
-Weights of men: 90% confidence; n = 14, $\overline { \mathrm { x } }$ = 161.5 lb, s = 13.7 lb

A) $10.2 \mathrm { lb } < \sigma < 19.3 \mathrm { lb }$
B) $11.1 \mathrm { lb } < \sigma < 2.7 \mathrm { lb }$
C) $10.4 \mathrm { lb } < \sigma < 20.3 \mathrm { lb }$
D) $10.8 \mathrm { lb } < \sigma < 17.7 \mathrm { lb }$