Determine If the Outcome Is Unusual $\mu - 2 \sigma \text { or greater than } \mu + 2 \sigma$

question 149

Multiple Choice

Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than $\mu - 2 \sigma \text { or greater than } \mu + 2 \sigma$
-The Acme Candy Company claims that 8% of the jawbreakers it produces actually result in a broken jaw. Suppose 9571 persons are selected at random from those who have eaten a jawbreaker produced at Acme Candy Company. Would it be unusual for this sample of 9571 to contain 806 persons with broken jaws?

• A) Yes
• B) No

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Definitions:

Recall

The mental process of retrieving information from memory without the aid of cues, often tested as a memory function.

Randomly

Without method or conscious decision, in a way that seems unpredictable or without pattern.

Framing Effect

A cognitive bias where people decide on options based on whether they are presented in a positive or negative way.

Risky Strategy

In decision making, opting for an option with potentially higher rewards but also higher risks, often contrasted with a safe or conservative approach.