The Gordon Beverage Company Bottles Soft Drinks Using an Automatic

question 139

Essay

The Gordon Beverage Company bottles soft drinks using an automatic filling machine. When the process is running properly, the mean fill is 12 ounces per can. The machine has a known standard deviation of 0.20 ounces. Each day, the company selects a random sample of 36 cans and measures the volume in each can. They then test to determine whether the filling process is working properly. The test is conducted using a 0.05 significance level. Using the test statistic approach, what conclusion should the company reach if the sample mean is 12.02 ounces? What type of statistical error may have been committed?

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Definitions:

Industrial Revolution

The period of significant industrial, technological, and social change in the late 18th and early 19th centuries, leading to the widespread use of machinery and the establishment of factory systems.

Modern Life

Refers to lifestyles and societies characterised by contemporary norms, technologies, and social structures, often contrasting with traditional ways of life.

Symbolic Interactionism

A sociological perspective focusing on the meanings that people impose on objects, events, and behaviors, and how these meanings develop through social interaction.

Social Institutions

Established systems of societal organization and governance that structure activities and relationships in culture.