IQ Scores Are Normally Distributed with an Average of 100

question 28

Essay

IQ scores are normally distributed with an average of 100 and a standard deviation of 16. Some research suggests that left-handed individuals have a higher IQ score than right-handed individuals. To test this hypothesis, a researcher randomly selects 132 individuals and finds that their average IQ is 103.2 with a sample standard deviation of 14.6. Using the results from the sample, can you reject the null hypothesis that left-handed people have an IQ of 100 vs. the alternative that they have a higher IQ? What critical value should you choose if the size of the test is 5%?

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Definitions:

Relational Thinking

A cognitive process that involves identifying connections and relationships between objects, ideas, or situations.

Dialectical Thinking

A method of thought that involves holding two opposing points of view in mind at the same time to reach a synthesis or integration of the two.

Categorical Thinking

A cognitive process that involves organizing information into categories for easier understanding and decision-making, sometimes at the expense of recognizing unique or nuanced differences.

Self-Worth

A person's subjective valuation of themselves, often based on assessments of their abilities and attributes.