Determine If the Outcome Is Unusual $\mu - 2 \sigma$ Or Greater Than

question 152

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 $\mu - 2 \sigma$ 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 792 persons with broken jaws?

• A)No
• B)Yes

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Definitions:

Standard Normal Distribution

A probability distribution that has a mean of 0 and a standard deviation of 1, representing a bell-shaped curve.

99th Percentile

A value below which 99% of the data points in a data set fall, used as a measure of statistical distribution.

Z Distribution

A statistical distribution that describes the distribution of standardized values; it's used in inference regarding mean of normally distributed populations when the standard deviation is known.

Standard Deviation

A statistic that measures the dispersion or variability of a set of data points in relation to their mean, indicating how spread out the data points are.