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:

Societies

Groups of individuals involved in persistent social interaction, or a large social grouping sharing the same geographical or social territory, typically subject to the same political authority and dominant cultural expectations.

Mechanical Solidarity

A form of social cohesion that arises when individuals in a society maintain similar values, beliefs, and norms, often seen in traditional, agrarian societies.

Macro-Analysis

Macro-analysis is the examination of large-scale social processes and structures, focusing on societal trends and broad patterns rather than individual behaviors.

Micro-Analysis

A detailed, small-scale examination or analysis, often focusing on individual or minor aspects within a larger context or system.