A Laboratory Tested 82 Chicken Eggs and Found That the Mean

Multiple Choice

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