A Laboratory Tested a Simple Random Sample of Twelve Chicken $199.5 \mathrm { mg } < \mu < 230.5 \mathrm { mg }$

Multiple Choice

A laboratory tested a simple random sample of twelve chicken eggs and found that the mean amount of cholesterol was 215 milligrams with s = 19.8 milligrams. Assume that the population of these amounts is normally distributed. Construct the 95% confidence interval estimate of the population mean.

A) $199.5 \mathrm { mg } < \mu < 230.5 \mathrm { mg }$
B) $209.3 \mathrm { mg } < \mu < 220.7 \mathrm { mg }$
C) $204.7 \mathrm { mg } < \mu < 225.3 \mathrm { mg }$
D) $202.4 \mathrm { mg } < \mu < 227.6 \mathrm { mg }$