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:

Emerging Adulthood

The period from the late teenage years extending to the mid-20s in which people are still sorting out their options for the future.

Senescence

The process of aging where cells progressively lose the ability to divide and grow, contributing to the deterioration of bodily functions.

Exploratory Maturation

The process of acquiring new skills and knowledge through active engagement and experimentation, particularly referenced in developmental stages.

Genetically Determined Traits

Genetically determined traits are characteristics that are passed down from parents to offspring through genes, including physical and some behavioral traits.