The Good Food Chain Has a Contract to Receive Eggs

question 127

Essay

The Good Food chain has a contract to receive eggs from a large egg producer. The eggs come in lots of 4,000 dozen each week. The contract specifies that the rate of broken or defective eggs should not exceed 8 percent. Each time a load comes in, Good Food warehouse employees select a random sample of n = 100 eggs and check to see if they are broken or defective. If Good Food wants no more than a 0.05 chance of rejecting the shipment, what should the cut-off be in terms of proportion of broken or defective eggs so that if the proportion is that value or more, the shipment will be rejected?

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Definitions:

Syllogistic Reasoning

Reasoning with problems concerning relationships among categories (e.g., “All A are B; some B are C; therefore, some A are C”).

Intrapersonal Intelligence

The capacity to understand oneself, including one's emotions, motivations, inner states, and self-reflection.

Self-Regulation

is the ability of an individual to manage their thoughts, emotions, and behaviors towards achieving long-term goals, often involving controlling impulses and acting in accordance with personal standards.

Need for Cognition

An individual's tendency to engage in and enjoy activities that require thinking, reasoning, and problem-solving.