Part 2 NFL Lightweights- Do some teams weigh less than others? The following data are weights (pounds) of a random sample of professional football players from each of the following teams. Cowboys Packers Forty Niners 250 260 247 255 271 249 255 258 255 264 263 247 250 267 244 265 254 245 Is there a difference in the mean weights? Since there are more than 2 populations, use ANOVA to see if we can prove a difference. Answer the following questions: ) Is this an Experimental Design Study or an Observational Study? b) Define the populations and the population parameters? (Define each of them!) ) Run ANOVA using Excel. Use alpha = .05 and the p-value to test and see if it can be proven that not all the population means are the same. Click Once for instructions on using Excel to get a p-value: ANOVA on Excel PDF Instructions --Include Excel file in Report complete with ANOVA table. Note: For a demonstration of what I am asking you to do here, see video 3 "Restaurant Odors" - 9.1, 9.2. d) If you were able to determine that there was a difference between at least two of the means, use Tukey Confidence intervals to do multiple pairwise tests. Do these by hand using the formulas and the "Tukey Table" provided on this week's section 9.3 page in eLearn. -- Note: For a demonstration of what I am asking you to do here, see the video Applying Tukey's Method for the "Gasoline Types" example. e) What do the Tukey confidence intervals tell you? f) Use the "Tukey Confidence Interval point estimate" formula (section 9.3 eLearn) to estimate the mean weight of the Forty Niners. Make sure you interpret this confidence interval. Note: For a demonstration of what I am asking you to do here, see video "Gasoline Types"- 9.3 in eLearn. g) What is your overall conclusion for this experiment? Final Report 1. Make sure when you run your tests to state the null and alternative Hypothesis correctly using the correct notation. Also make sure you draw conclusions for each test and explain the results in the context of the problems. 2. Turn in hand-written solutions and answers to all the questions for Part 1. 3. Turn in Excel file that include ANOVA tables, hand-written solution to Tukey Confidence intervals and answers to questions for Part 2. Note: You scan your written work to one pdf file. If you do not have a scanner there are apps available for your phone. See Dropbox instructions or the course syllabus Note: One of the several things I want to accomplish in lab activities is to give you some practice with writing out hypothesis tests completely from start to finish. On-line homework software by its very nature must ask you a series of questions "leading" you through the problem. It does this so that you get your answers in the right "boxes" to be electronically graded. This can be deceptive in a way since on the exams you're expected to run hypothesis tests from scratch as demonstrated in the video examples. It's a good idea to keep this in mind when you are doing the homework. Work the hypothesis tests out and then answer the questions from your results. The following problems will practice you in this and allow me to give you some feedback
