A Sample of 50 Observations Is Drawn at Random from a Normal

question 64

Essay

A sample of 50 observations is drawn at random from a normal population whose mean and standard deviation are 75 and 6, respectively.
a. What does the central limit theorem say about the sampling distribution of the sample mean? Why?
b. Find the mean and standard error of the sampling distribution of the sample mean.
c. Find P( $\bar { X }$ > 73).
d. Find P( $\bar { X }$ < 74).

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Definitions:

Single Buyer

A market situation where there is only one buyer for a particular product or service, influencing the market conditions and prices.

Input Market

Markets where firms purchase resources and services needed for the production process, such as labor, raw materials, and machinery.

Labor Union

An organization of workers formed to protect and further their rights and interests through collective bargaining.

National Labor Relations (Wagner) Act

A 1935 United States federal law that protects the rights of employees to organize, form unions, and engage in collective bargaining, while prohibiting certain unfair labor practices.