Use the Given Degree of Confidence and Sample Data to Construct

question 56

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ Assume that the population has a normal distribution.
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s=17.6 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

• A) \(173.7 \mathrm { mg } < \mu < 196.3 \mathrm { mg }\)
• B) \(175.9 \mathrm { mg } < \mu < 194.1 \mathrm { mg }\)
• C) \(173.8 \mathrm { mg } < \mu < 196.2 \mathrm { mg }\)
• D) \(173.9 \mathrm { mg } < \mu < 196.1 \mathrm { mg }\)

---

Definitions:

Balance of Payments

A record of all transactions made between entities in one country and the rest of the world over a specific period of time.

Current Account

A segment of a nation's balance of payments that tracks the exchange of goods and services, net income from investments, and transfer payments.

Capital Account

A national account that shows the net change in asset ownership for a nation, reflecting movements of financial capital and tangible capital into and out of the country.

Current Account

A component of a country's balance of payments that measures the trade of goods and services, along with earnings on foreign investments minus payments made to foreign investors.