A Professor Was Curious About Her Students' Grade Point Averages $3.01 \pm 2.576 \frac{0.534}{\sqrt{15}}$

question 64

Multiple Choice

A professor was curious about her students' grade point averages (GPAs) . She took a random sample of 15 students and found a mean GPA of 3.01 with a standard deviation of 0.534. Which of the following formulas gives a 99% confidence interval for the mean GPA of the professor's students?

• A) \( 3.01 \pm 2.576 \frac{0.534}{\sqrt{15}} \)
• B) \( 3.01 \pm 2.977 \frac{0.534}{\sqrt{14}} \)
• C) \( 3.01 \pm 2.947 \frac{0.534}{\sqrt{15}} \)
• D) \( 3.01 \pm 2.977 \frac{0.534}{\sqrt{15}} \)
• E) \( 3.01 \pm 2.947 \frac{0.534}{\sqrt{14}} \)

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Definitions:

Balance Theory

A psychological theory suggesting how people develop their relationships with others and objects in their environment based on cognitive consistency among triads of elements.

Unit Relation

The interconnectedness or interaction between different components or elements within a system.

Sentiment Relation

The association and connection between feelings or attitudes and how they influence behaviors or perceptions.

Multi-Attribute Models

Psychological models used to understand and predict consumers' attitudes and behaviors by analyzing multiple dimensions or attributes of a product or service.