A Simple Random Sample of Size Four Is Selected from a Certain

question 35

Multiple Choice

A simple random sample of size four is selected from a certain population.The sample yields the following data. 1 8 4 3
Suppose we bootstrap the mean of these data by drawing 1000 resamples.Which of the following could not be the means of the first three resamples?

• A)1,4,8
• B)2.25,3.25,4.25
• C)4,5,6
• D)4.5,5.5,6.5

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Definitions:

Implicit Personality Theory

The assumption individuals make about how different types of personalities, traits, and behaviors are related.

Assumptions

Basic beliefs or ideas that are accepted as true without proof, forming the basis for reasoning and decision making.

Cognitive Dissonance

A psychological discomfort experienced when holding contradictory beliefs, attitudes, or when actions conflict with one's beliefs.

Festinger and Carlsmith

Psychologists known for their 1959 cognitive dissonance experiment which demonstrated how attitudes can change to align with behavior.