The Net Weight of a Bag of Flour Is Guaranteed

question 48

Essay

The net weight of a bag of flour is guaranteed to be 5 pounds with a standard deviation of 0.05 pounds. You are concerned that the actual weight is less. To test for this, you sample 25 bags. Carefully state the null and alternative hypothesis in this situation. Determine a critical value such that the size of the test does not exceed 5%. Finding the average weight of the 25 bags to be 4.7 pounds, can you reject the null hypothesis? What is the power of the test here? Why is it so low?

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Definitions:

European Colonizers

The individuals and nations from Europe that established colonies in other parts of the world from the 16th to the 20th centuries, often resulting in significant cultural, political, and economic changes.

Racist Aesthetic

Refers to visual culture, practices, or artifacts that promote, normalize, or glamorize racist ideologies and prejudices.

Racial Domination

The systemic subjugation or discrimination of individuals or groups based on race, often institutionalized in social, economic, and political structures.

Misrepresentation

The act of giving a false or misleading account of the nature of something, often leading to incorrect perceptions or understandings.