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%?

---

Definitions:

Social Activism

Social activism involves organized efforts and actions aimed at promoting, impeding, or directing social, political, economic, or environmental change.

Social Motivation

The drive behind individuals' efforts to engage with, contribute to, or be accepted by their social environment and communities.

Individual Agency

The capacity of individuals to act independently and make free choices, shaping their own lives.

Social Fact

Elements such as norms, values, and structures that exist external to the individual and exert influence over them, as defined by sociologist Émile Durkheim.