Use the Given Degree of Confidence and Sample Data to Construct

question 28

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.
Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was $6.6$ , construct a $99 \%$ confidence interval for the mean score of all students.

• A) \(91.68 < \mu < 98.32\)
• B) \(91.69 < \mu < 98.31\)
• C) \(92.95 < \mu < 97.05\)
• D) \(92.03 < \mu < 97.97\)

---

Definitions:

Trade Custom

Established practices or patterns of behavior that are widely accepted and followed within a particular industry.

Implied Warranty

A legal assumption that a product will meet certain standards of quality and reliability without being explicitly stated.

Contract

A legally binding agreement between two or more parties that outlines obligations and rights.

Implied Warranty of Fitness

A legal guarantee that goods sold will meet the specific purpose for which the buyer is purchasing them, even if not explicitly stated.