Use the Given Degree of Confidence and Sample Data to Construct

question 29

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.
- $\mathrm { n } = 12 , \overline { \mathrm { x } } = 23.6 , \mathrm {~s} = 6.6,99 \%$ confidence

• A) \(17.56 < \mu < 29.64\)
• B) \(18.42 < \mu < 28.78\)
• C) \(17.68 < \mu < 29.52\)
• D) \(17.70 < \mu < 29.50\)

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Definitions:

Massachusetts Bay Colony

A colonial settlement established by the English Puritans near present-day Boston in 1630.

Virginia Colony

The first permanent English settlement in North America, founded in 1607, serving as a key location for colonial expansion and the development of American society.

Early Days

A term referring to the initial period of existence or operation of an entity, often characterized by simplicity, experimentation, and establishment of foundational principles.

Colonization

The process by which a central power dominates the surrounding land and its indigenous people, often involving the establishment of foreign control over territories for economic or strategic benefits.