A Statistics Professor Wishes to Estimate the Average Mark on a Term

question 57

Multiple Choice

A statistics professor wishes to estimate the average mark on a term test for a course that has
Multiple sections and many students. A survey of some of the students registered for the course
Reveals the following results:
The student from the course wonders whether the population mean could have been 75 or 80.

• A) Since 80 is within the 95% confidence interval, the population mean is likely to be 80.
• B) Since 80 is not within the 95% confidence interval, the population mean is not likely to be 80.
• C) Since 75 is within the 95% confidence interval, the population mean is likely to be 75.
• D) Since neither 75 nor 80 is within the 95% confidence interval, the population mean is not likely to be 75 or 80.
• E) Since 80 is not within the 95% confidence interval, the population mean is not likely to be 80, but it is likely to be 75.

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Definitions:

Sensorimotor

Refers to a developmental stage in infants where they learn to interact with the world through physical movements and sensory experiences.

Concrete Operational

A stage in Piaget's theory of cognitive development, where children aged around 7-12 years gain the ability to think logically about concrete events.

Concrete Operations

a stage in Piaget's theory of cognitive development, where children aged 7 to 12 years become capable of logical thought processes but are not yet able to handle abstract reasoning.

Conservation Tasks

Cognitive tests used in developmental psychology that measure a child's ability to understand that certain properties of objects can remain the same despite changes in the object's form or appearance.