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:

Cognitive

Relating to mental actions or processes involved in gaining knowledge and comprehension, including aspects such as awareness, perception, reasoning, and judgment.

Behavioral

Related to or involving actions and observable behaviors as a means to study psychological processes and disorders.

Humanistic

An approach in psychology that emphasizes the study of the whole person, focusing on subjective experience and inherent growth potential.

Cognitive Neuroscience

The scientific field that is concerned with the study of the biological processes and aspects that underlie cognition, with a specific focus on the neural connections in the brain which are involved in mental processes.