How Do You Determine Whether to Use the Z or T

question 59

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:

Suture

A stitch or row of stitches holding together the edges of a wound or surgical incision.

Brachialgia

Pain in the arm, specifically referring to nerve pain that can be caused by various conditions affecting the brachial plexus or surrounding nerves.

Arm

A limb on the human body extending from the shoulder to the wrist, including the forearm and upper arm.

Pain

A distressing feeling and emotional response linked to real or possible harm to the body, or defined by reference to such harm.