Provide an Appropriate Response $\mu$ , of the Variable $n = 3$

question 56

Essay

Provide an appropriate response.
-Population data: 4, 5, 8, 9. 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 $n = 3$ . 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 $0.5$ .

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Definitions:

William Lloyd Garrison

An American abolitionist, journalist, suffragist, and social reformer who is best known for his editorship of the abolitionist newspaper The Liberator and for being one of the founders of the American Anti-Slavery Society.

African Colonization

The process by which European powers occupied, controlled, and exploited the continent of Africa, fundamentally reshaping its societies, borders, and economies from the 19th century to the mid-20th century.

American Society

The body of individuals who live in the United States, characterized by diverse cultures, social practices, and values.

Equality

The state of being equal, especially in status, rights, and opportunities.