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 }

Question

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) $9.3 \mathrm { lb } < \sigma < 17.7 \mathrm { lb }$

Quizplus · Accepted Answer

The correct answer is A because the confidence interval for the population mean is:$160.9 \pm 1.645 * (12.6 / \sqrt{14}) = 160.9 \pm 9.6 < \mu < 18.7$

Use the Given Degree of Confidence and Sample Data to Construct