If Two Populations Are Not Known to Be Normally Distributed $\bar { X } _ { 1 } - \bar { X } _ { 2 }$

question 22

Multiple Choice

If two populations are not known to be normally distributed, the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , will be:

• A)normally distributed only if both population sizes are greater than 30.
• B)normally distributed.
• C)normally distributed only if at least one of the sample sizes is greater than 30.
• D)approximately normally distributed.

---

Definitions:

Category

People who share one or more attributes but who lack a sense of common identity or belonging.

Social networks

Structures made up of individuals or organizations connected by one or more specific types of interdependency, such as friendship, kinship, common interest, or economic exchange.

Duncan Watts

A sociologist known for his work on network theory, particularly in relation to small worlds and collective dynamics.

Charismatic authority

Describes a form of leadership where followers attribute extraordinary leadership abilities or qualities to a leader, often seen as revolutionary or heroic.