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

question 141

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 $\mu + 2 \sigma$
-According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At 5:00 pm on a given Sunday, 2500 such televisions are
Randomly selected and checked to determine what is being watched. Would it be unusual to find that 981 of the
2500 televisions are tuned to "Eyewitness News"?

• A) Yes
• B) No

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Poisson Distribution

A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming these events happen with a known constant rate and independently of the time since the last event.

Poisson Distribution

A discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space, assuming that these events occur with a known constant mean rate and independently of the time since the last event.

Tickets

A document or electronic card that gives the holder a right to admission, travel, or participation in an event.