For Samples of the Specified Size from the Population Described $\overline { \mathbf { X } _ { * } }$

question 44

Multiple Choice

For samples of the specified size from the population described, find the mean and standard deviation of the samplemean $\overline { \mathbf { X } _ { * } }$
-The National Weather Service keeps records of rainfall in valleys. Records indicate that in a certain valley, the annual rainfall has a mean of 95 inches and a standard deviation of 12 inches. Suppose the rainfalls are sampled during randomly picked years and $\bar { x }$ is the mean amount of rain in these years. For samples of size 36 , determine the mean and standard deviation of $\bar { x }$ .

---

Definitions:

Incentive Problem

A situation where the incentives or motivations of individuals or groups do not align with broader organizational or societal goals.

Continued Losses

Persistent financial deficits experienced by a business over multiple periods, indicating an inability to generate sufficient revenue to cover expenses.

Industry

Denotes a specific group of companies or businesses that produce or sell similar products and services.

Consumer Sovereignty

The concept that consumers' preferences and decisions dictate the production and sale of goods and services in an economy.