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:

Feedback

Information given to a person or system about their performance or behavior, intended to guide future improvements.

Strategically

In a manner that is carefully planned to achieve a specific end or advantage.

Communication

The process of transmitting information, ideas, emotions, skills, and knowledge from one person or group to another.

Negotiation

A dialogue between two or more parties aimed at reaching a consensus or resolving a problem.