Project 2: Analyze Your Own Data—Inference for a Difference in MeansThis project asks you to collect and analyze your own data for a difference in means. You should submit a well-written report...

Project 2: Analyze Your Own Data—Inference for a Difference in MeansThis project asks you to collect and analyze your own data for a difference in means. You should submit a well-written report addressing each of the following parts.Part 1Clearly state what you want to study.What is your population and what two groups are you comparing? What is your quantitative variable of interest? Define the parameter(s) of interest. (Note: Several suggestions are given below or come up with your own idea.)Part 2Describe clearly how you will collect your data.Remember Chapter 1! Devise a way to efficiently collect data in a way that will be relatively unbiased. After you have described your sampling method, discuss any ways that your sampling method may bias the results. (Note: If collecting your own data is not feasible, perhaps you could sample your statistics class.)Part 3Collect your data!Include all the data. Also, give summary statistics (mean, standard deviation, and sample size) for each group. Include a comparative plot and discuss what you see in the graph.Part 4Create a confidence interval for the difference in means between your two groups.Use StatKey or other technology to construct a bootstrap distribution for the difference in means using the data in your sample. Use the bootstrap distribution to construct the confidence interval (choose your own confidence level) and be sure to interpret your result in the context of your data situation.Part 5Test whether your data show evidence for a difference in means between the two groups.Specify the appropriate null and alternative hypotheses. Use a two-tailed alternative, unless you have some reason in advance to suspect a difference in a particular direction. Explain how you might physically go about creating a randomization sample for this test and then use StatKey or other technology to create a randomization distribution. Include a rough sketch of this distribution. Explain how to find a p-value from this randomization distribution and then do so. Use the p-value to make a conclusion (in context) about the evidence for a difference in means between your groups.
Topic SuggestionsDetermine whether there is a difference in average:Number of hours spent watching television in a week, between males and femalesLife expectancy, between countries in the Eastern and Western hemispheresNumber of hours spent studying per week, between first-year students and upper-class studentsNumber of pitches thrown in baseball games, between the National and American leaguesPrice of textbooks, between introductory and upper level courses