Use the Confidence Level and Sample Data to Find a Confidence

question 45

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) \(224 \mathrm { mg } < \mu < 232 \mathrm { mg }\)

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Definitions:

Market Rate

The prevailing interest rate available in the marketplace for loans and investments, often influenced by central bank rates, inflation, and market demand.

Annual Dividend

The yearly total of dividend distributions made by a company to its shareholders.

Dividend Growth Rate

The annualized percentage rate of growth of a company's dividends paid to shareholders.

Dividend Increases

Instances where a company raises the amount of money it pays to its stockholders in dividends.