Use the Confidence Level and Sample Data to Find a Confidence

Multiple Choice

Use the confidence level and sample data to find a confidence interval for estimating the population µ. Round your answer to the same number of decimal places as the sample mean.
-A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with $\sigma = 17.4$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content, $\mu$ , of all such eggs.

A) $225 \mathrm { mg } < \mu < 234 \mathrm { mg }$
B) $225 \mathrm { mg } < \mu < 233 \mathrm { mg }$
C) $226 \mathrm { mg } < \mu < 234 \mathrm { mg }$
D) $227 \mathrm { mg } < \mu < 235 \mathrm { mg }$