The University Police Department Must Write, on Average, Five Tickets

question 4

Multiple Choice

The university police department must write, on average, five tickets per day to keep department revenues atbudgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of6.5 tickets per day. Interpret the value of the mean.

• A) If we sampled all days, the arithmetic average number of tickets written would be 6.5 tickets per day.
• B) The number of tickets that is written most often is 6.5 tickets per day.
• C) Half of the days have less than 6.5 tickets written and half of the days have more than 6.5 tickets written.
• D) The mean has no interpretation since 0.5 ticket can never be written.

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Definitions:

Seasonality

Patterns or variations that occur in data at specific regular intervals less than a year, often due to weather, holidays, or other cyclical events.

Mean Square Error

A measure of the average of the squares of the errors or deviations, indicating the difference between the estimators and what is estimated.

Mean Absolute Percentage Error

A measure used to predict accuracy in statistics, expressing the average absolute difference between observed and forecasted values as a percentage.

Holt-Winters Multiplicative Model

A forecasting technique that accounts for seasonality, trend, and error in time series data, using multiplicative methods to adjust for these components.