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

question 116

Multiple Choice

The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 7.5. Interpret the value of the mean.

• A) If we sampled all days, the arithmetic average number of tickets written would be 7.5 tickets per day.
• B) The number of tickets that is written most often is 7.5 tickets per day.
• C) On half of the days less than 7.5 tickets are written and on half of the days have more than 7.5 tickets are written.
• D) The mean has no interpretation since 0.5 ticket can never be written.

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Definitions:

Blocks

In the context of experimental design, a group of experimental units that are similar in some way that is expected to affect the response to the treatments.

Independently Distributed

Refers to random variables not influenced by each other's values.

Population Variances

The measures of how much the values in an entire population differ from the mean of that population.

Randomized Block Design

A statistical experimental design that groups subjects into blocks based on certain attributes, then randomly assigns treatments within these blocks to control for variability.