Use the Given Degree of Confidence and Sample Data to Construct

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
-Weights of men: $90 \%$ confidence; $\mathrm { n } = 14 , \overline { \mathrm { x } } = 160.9 \mathrm { lb } , \mathrm { s } = 12.6 \mathrm { lb }$

A) $9.6 \mathrm { lb } < \sigma < 18.7 \mathrm { lb }$
B) $9.9 \mathrm { lb } < \sigma < 16.3 \mathrm { lb }$
C) $10.2 \mathrm { lb } < \sigma < 2.7 \mathrm { lb }$
D) $9.3 \mathrm { lb } < \sigma < 17.7 \mathrm { lb }$