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:

Capital Balance

The amount of money that stakeholders have invested in a company. This can also refer to the equity section of a company's balance sheet.

Income-Sharing Ratio

The agreed-upon distribution of income or profits among partners in a business, often expressed as a proportion or percentage.

Noncash Assets

Assets that are not in the form of cash or easily convertible into cash, such as property, plant, and equipment.

Total Capital

The sum of a company's debt and equity, representing the total funds available for the business to use.