Use the Confidence Level and Sample Data to Find a Confidence

question 25

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.
-39 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 29.9 pounds and a standard deviation of 3.0 pounds. What is the 95% confidence interval for the true mean weight, µ, of all packages received by the parcel service?

• A) 28.7 lb < µ < 31.1 lb
• B) 29.0 lb < µ < 30.8 lb
• C) 29.1 lb < µ < 30.7 lb
• D) 28.8 lb < µ < 31.0 lb

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Definitions:

Commonwealth

A political community founded for the common good, often used to describe self-governing territories associated with a larger nation.

United States

A country located in North America, consisting of 50 states, and known for its significant cultural and political influence globally.

Assimilation Model

A theory or approach suggesting that cultural or ethnic minorities should be absorbed into the dominant society, losing their original identities.

Societal Conditions

The state of society at a given time, including its norms, laws, and living standards.