Population Data: 3, 4, 5, 6, 7 $\mu$ , of the Variable

question 12

Essay

Population data: 3, 4, 5, 6, 7. a. Find the mean, $\mu$ , of the variable. b. Use the population data below to construct a table giving the sample means of sample size $n = 2$ . c. Draw a dotplot for the sampling distribution of the sample mean. d. Find the probability that the sample mean will equal the population mean. e. Find the probability that the sampling error made in estimating the population mean by the sampling mean will be $0.5$ or less (in magnitude), that is, that the absolute value of the difference between the sample mean and the population mean is at most $0.5$ .

---

Definitions:

Vision Statement

A future-oriented declaration of an organization's goals and aspirations, intended to guide its internal decision-making.

Strategic Planning

A systematic process of envisioning a desired future and translating this vision into broadly defined goals or objectives and a sequence of steps to achieve them.

Chief Executive Officer

The highest-ranking executive in a company or organization, responsible for making major corporate decisions and managing overall operations.

Ideal Future

A vision or conceptualization of a perfect scenario or state that an individual, group, or society aims to achieve, often used as a motivational tool.