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 $\mu$ . Assume that the population has a normal distribution.

A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with $s = 17.6$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content of all such eggs.

A) $173.7 \mathrm { mg } < \mu < 196.3 \mathrm { mg }$
B) $175.9 \mathrm { mg } < \mu < 194.1 \mathrm { mg }$
C) $173.8 \mathrm { mg } < \mu < 196.2 \mathrm { mg }$
D) $173.9 \mathrm { mg } < \mu < 196.1 \mathrm { mg }$