How Do You Determine Whether to Use the Z or T

question 52

Essay

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

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Definitions:

Committed Romantic Relationship

A relationship marked by emotional and usually sexual fidelity, loyalty, and mutual support between partners.

Chronological Age

The actual age of a person measured in years from the date of birth, often used as a general indicator of development and aging.

Cognitive Transitions

Changes in cognitive functions or processes that occur during development, notably seen during adolescence.

Same-Sex Marriage

The legally or socially recognized marriage between two people of the same sex.