Suppose a Population Is Normally Distributed with a Mean 100

question 61

Essay

Suppose a population is normally distributed with a mean 100 and a standard deviation of 15.When a sample of size n = 36 is collected a sampling distribution is created.Explain which is larger: the probability of a value randomly selected from the population being larger than 120,or the probability of a sample mean being larger then 120.

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Definitions:

Self-fulfilling Prophecy

A prediction that directly or indirectly causes itself to become true due to positive feedback between belief and behavior.

False Consensus Effect

The cognitive bias to overestimate the extent to which others share our beliefs, attitudes, and behaviors.

Weight Discrimination

The unfair treatment of individuals based solely on their weight or body size, often manifesting in social, professional, and health care contexts.

Festinger And Carlsmith

Researchers known for their 1959 cognitive dissonance experiment, which investigated the effects of forced compliance behavior on changing attitudes.