Use the Given Degree of Confidence and Sample Data to Construct

question 95

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
-A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 198 milligrams with $\mathrm { s } = 10.5$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content of all such eggs.

• A) \(191.3 \mathrm { mg } < \mu < 204.7 \mathrm { mg }\)
• B) \(191.4 \mathrm { mg } < \mu < 204.6 \mathrm { mg }\)
• C) \(191.2 \mathrm { mg } < \mu < 204.8 \mathrm { mg }\)
• D) \(192.6 \mathrm { mg } < \mu < 203.4 \mathrm { mg }\)