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 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with $\sigma$ = 19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, $\mu$ of all such eggs.

A) $223 \mathrm { mg } < \mu < 231 \mathrm { mg }$
B) $223 \mathrm { mg } < \mu < 232 \mathrm { mg }$
C) $225 \mathrm { mg } < \mu < 233 \mathrm { mg }$
D) $224 \mathrm { mg } < \mu < 232 \mathrm { mg }$