How Do You Determine Whether to Use the Z or T

question 48

Essay

How do you determine whether to use the z or t distribution in computing the margin of error, $$E = z _ { \alpha / 2 } \cdot \frac { \sigma } { \sqrt { n } } \text { or } E = t _ { \alpha / 2 } \cdot \frac { s } { \sqrt { n } } ?$$

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Definitions:

Cultural Characteristic

Features that distinguish one culture from another, including language, values, beliefs, norms, and practices.

Need for Achievement

A psychological trait that reflects an individual's desire for success and the attainment of excellence through personal effort.

Honor Cultures

Social systems in which individuals' status is strongly influenced by their ability to respond to insults, challenges, or threats with physical or verbal retaliation.

Dignity Cultures

Societies that emphasize the preservation of dignity and respect in interpersonal relations, often through the maintenance of social status and honor.