Use the Given Degree of Confidence and Sample Data to Construct

question 55

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) \(92.03 < \mu < 97.97\)

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Definitions:

Cognitive Explanations

encompass the reasoning or theories that explain how mental processes such as perception, memory, and problem-solving work.

Chomsky

A linguist and cognitive scientist who revolutionized the field of linguistics with his theory of generative grammar, emphasizing the innate structure of human language.

Piaget, Vygotsky

Refer to Jean Piaget and Lev Vygotsky, two influential theorists in developmental psychology, known for their work on cognitive development and socio-cultural theory respectively.

Egocentric Speech

Speech that is focused on the self, often observed in young children, reflecting their limited ability to take the perspective of others.