Use the Given Degree of Confidence and Sample Data to Construct

question 117

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution.
-The principal randomly selected six students to take an aptitude test. Their scores were: $\begin{array} { l l l l l l } 81.4 & 78.6 & 71.3 & 77.8 & 76.9 & 77.7 \end{array}$
Determine a $90 \%$ confidence interval for the mean score for all students.

• A) \(80.11 < \mu < 74.45\)
• B) \(80.01 < \mu < 74.55\)
• C) \(74.55 < \mu < 80.01\)
• D) \(74.45 < \mu < 80.11\)

---

Definitions:

Reciprocal Relationship

A mutual relationship in which two or more entities engage in an exchange of goods, services, or favors, benefiting all involved parties.

Obesity

A medical condition where excess body fat has accumulated to the extent that it may have a negative effect on health, leading to increased health problems and reduced life expectancy.

Social Class

The categorization of people based on their economic position in society, often determined by factors such as wealth, occupation, and education.

Forced Sterilization

A coercive practice of permanently preventing individuals from reproducing without their consent.