For this project, you are required to explore the distribution of a single quantitative variable in two different groups. Summarize each distribution using tabular summaries, graphical summaries, and numerical summaries. This should be done in a manner that facilitates a direct comparison of the two distributions. When describing and comparing the distributions, keep in mind the following questions: Are there any outliers? Do both distributions have properties that are basically the same? Are there any significant differences between the two distributions? If such differences exist, what explains these differences? What is a consequence of having significant differences? Write a brief report including your data, summaries, comparisons, and conclusions. Instructions Exploratory Analysis Project Does the Academy Discriminate? In this project, you will explore the ages of the Academy Award winners for best actress and best actor. This is Data Set 14 found in Appendix B of the Text. (Note: The actual text only provides a few lines of the data in order to explain what the data set contains.) In MyLabs Statistics, you will find data sets under Tools for Success. It is also available in StatCrunch when accessed via MyLabs Statistics. Investigate the distributions of ages for both winners of best actress and winners of best actor. Compare the two distributions. Determine whether there are differences or not. If so, how might you explain the differences? Is there reason to believe that the Academy discriminates in any way? In this investigation, you should create a single WORD document in which you include a frequency distribution table for ages of the best actresses, a frequency distribution table for the ages of the best actors, a histogram for the ages of the best actresses, a histogram for the ages of the best actors, a boxplot for best actresses, a boxplot for best actors, compute the mean and median ages for each, compute the standard deviation and Interquartile Range for each, and identify any outliers for each. Be sure to create graphs and tables that make it easy to compare the distribution of ages for both actors and actresses. Using these tabular and graphical summaries, what would you conclude? Do you feel that the Academy discriminates in any way? Explain your response.
Grading Criteria for Exploratory Analysis Project Criterion Proficient (3 points) Competent (2 points) Novice (1 point) Incomplete/No evidence (0 points) Comments Data Data is present and well-presented and documented. Data is present and well presented or documented. Data is present Tables Tabular summaries are present and well done. Comparisons are easy to make. Tabular Summaries are present and well done. Tables are present. Histograms Histograms are present and well done. Comparisons are easy to make. Histograms are present and well done. Histograms are present Boxplots Boxplots are present and well done. Comparisons are easy to make. Boxplots are present and well done. Boxplots are present. Numerical Summaries Summary Statistics are present and well done. Comparisons are easy to make. Summary Statistics are present and well done. Summary Statistics are present. Conclusions (Comparisons) An appropriate and specific comparison is made with mention of multiple statistical methods of comparison. An appropriate and specific comparison is made with mention of one of the statistical methods of comparison. A general comparison is stated. Real World Explanation of Conclusions (Why?) A reason is given to explain the difference with some explanation and documentation A reason is given to explain the difference with some explanation. A reason is given to explain the difference. TOTAL _____/ 21