A Researcher Selects a Sample of 25 Participants from a Population

question 49

Multiple Choice

A researcher selects a sample of 25 participants from a population with a mean of 10 and a standard deviation of 5.What is the probability of selecting a sample mean that is at least two standard deviations larger than the population mean?

• A) .0228
• B) .4772
• C) .9772
• D) equal to the probability of selecting a sample mean that is at least two standard deviations below the mean

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Definitions:

Transitivity

A principle in logic and mathematics stating that if a relation holds between a first and a second element, and also between the second and a third, it must necessarily hold between the first and the third.

Conservation

The act of preserving, protecting, or restoring the natural environment and wildlife.

Class Inclusion

Class inclusion is a cognitive ability to understand that a specific item can belong to a broader category as well as to a more specific subcategory at the same time, a concept extensively studied by Jean Piaget.

Decentration

The ability to consider multiple aspects of a situation simultaneously, characteristic of cognitive development in children.