Group Statistic Project
The project should be in APA format and include the following:
Cover page; (definition of project – top and center, my name – university name)
Table of Contents;
Introduction to project, which should include:
What the project is about;
Method used for collecting the data;
Numerical representation of data, which should include:
Graphical display of your data
Description of the shape of the distribution;
Discussion of which of the following graphs is more useful for displaying the data you collected:
a dotplot;
a bar graph or
a histogram
Calculation of the mean and variance for your data for light cycles. Note that your sample size is the number of light cycles observed. Do you notice a relationship between these two summary measures? If so, explain what it is.
For each unique number of arrivals in your data, calculate the proportion of light cycles that had that number of arrivals. For example, suppose you collected these data for 100 light cycles, and you observed 8 cars arriving for each 12 light cycles. Then 12/100 = .12 of the light cycles had 8 arrivals. Also calculate the theoretical probabilities for each number of arrivals using the Poisson distribution with λ equal to the sample mean that you obtained for your data. How do the two sets of probabilities compare? Is the Poisson a satisfactory model of your data?
Conclusion
What can you infer from your findings?