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STAT225 Summer 2014 Final Project

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Question;This is an unformatted preview. Please download the attached document for the original format.STAT225 Summer 2014Final ProjectThere are a possible 100 points on this final project. The finalproject is worth 24% of your final grade.The final project is due on July 13, 2014. There will be noextensions or opportunity to revise on this assignment. Please makesure you have posted this work to your Assignments Folder by midnighton Sunday, July 13, 2014. You may post your Final Project as anattachment in your Assignments Folder.If you have any questions about this assignment, please post themto the Questions about the Final Project main topic within the FinalProject conference.Description of the ResearchAt the University of Mytholopolois the head of the statisticsdepartment wants to find out whether or not 7 basic topics are beingadequately learned in introductory statistics courses. A test is writtenthat has 7 questions, one question addressing each of the main topicsunder consideration. These topics are:1 - measurement scales2 - measures of central tendency3 - standard deviation4 - normal curve and empirical rule5 - t-tests6 - ANOVA7 - correlation and regressionThis brief test is going to be administered to all students registeredin the introductory statistics course at the beginning of the first sessionand the end of the last session. This is a pre-test/post-test design. Butbefore this full scale data collection effort begins the department is goingto test this little instrument. Eight students are selected to use as a testgroup. The following is a table of the student scores in the pre-testcondition and the post-test condition, along with some other importantinformation.This final project is asking you to consider 4 different statisticaltests. The first is what the department head is looking for, the second isan extension of that with a further breakdown of information, the third islooking for a relationship between two different variables and the fourthis asking what test you would use to predict a students score.StudentSexPre-testPost-testHopeFranklinLilyPaulDorothyLunaDuncanSwabbyFMFMFFMM4243542665765657Hours perweekstudyingstatistics15181311712149There is a limited amount of data presented here because I don'twant to overwhelm you with long calculations. Please assume that thedistribution is normal.Answer the following questions about this problem.Preliminary information about the data (33 points):Points3 points4 pointsQuestion1. What is the head of the statistics department trying tofind out?2. What are the data elements (variables) that are beingcollected by the researcher?4 points2 points2 points2 points2 points3 points4 points3 points3. What is the measurement scale of the each of thevariables of interest?4. What is the mean of the pre-test scores? What is themean telling you?5. What is the median of the post-test scores? What is themedian telling you?6. In both the pre and post test conditions, consideringthese as a single sample, what is the mode? (There shouldbe 16 values considered.) What is the mode telling you?7. What is the range of the hours studied? What is therange telling you?8. Can you calculate a mean for the sex of the studentsinvolved in this pilot study? Explain your answer.9. What is the standard deviation of the pre-test scores?Please show all your work. (You don't have to do thestandard deviation of the post-test scores.)10. What is the standard deviation telling you about the pretest scores?2 points 11. State the percentages of the empirical rule.2 points12. What is the difference between a population and asample? Be specific and give an example of a single groupwhere in one situation it would be a population and inanother situation this same group would be a sample.First statistical test (32 points):Points2 points3 points2 points2 points5 pointsQuestion13. What statistical test are you going to use to find outwhether there is a significant difference between the pretest sample and the post-test sample? Be specific.14. Explain why this test is appropriate. Include in youranswer three of the assumptions of the test you're proposingand explain why each is important.15. What is the null hypothesis for this problem?16. What is the research or alternative hypothesis for thisproblem?17. Perform the calculations for your proposed statistical2 points2 points2 points2 points2 points2 points3 points3 pointstest and show your work and your answer.18. What is your observed value?19. What are your degrees of freedom?20. Is this a one-tailed or two-tailed test? Explain why.21. What table are you going to use to find your criticalvalue? Please be specific and give the page number fromAron, Coups and Aron.22. What is your critical value? Your p value should be.05.23. Based on your observed and critical values, is thedifference between these two groups significant?24. What conclusion can you draw from your result? Stateyour conclusion in words, based on your null hypothesis.25. Describe what a a Type I error and a Type II would be forthis particular study.Second statistical test (16 points):In your first statistical test you tried to find out whether or not therewas a difference between two groups of test scores, the pre-test and thepost-test. What if we wanted to find out if there was a differencebetween the pre- and post- test scores broken down by sex?Points4 points2 points2 points2 points2 points2 points2 pointsQuestions26. How many groups are there for this analysis consideringpre-test data, post-test data and sex? Name them.27. What statistical test would propose to find out if there isa difference between these groups?28. What would your null hypothesis be for this additionalanalysis?29. What would your research hypothesis be for thisadditional analysis?30. In general, what conclusion could you draw from thatstatistical test?31. In general, what conclusion can't you draw from thisstatistical test?32. What additional statistical test do you need to performin order to find out where the actual difference lies?Third statistical test (15 points):In your first and second statistical tests you were trying to find outwhether there was a difference between the way various groupsperformed on the SAME variable. In this third scenario we want to findout whether there is a relationship between TWO different variables.Points2 points3 points4 points2 points2 points2 pointsQuestions33. What statistical test do you propose to find out therelationship between post-test scores and the number ofhours studied?34. What formula would you use to find the relationshipbetween the post-test scores and the number of hoursstudied?35. Using this formula, what would your result be? Show allyour work, please.36. How would you interpret your result?37. In general, what can you conclude from this statisticaltest?38. In general, what can't you conclude from this statisticaltest?Fourth statistical test (4 points):Now, based on the result of the third test, we can conduct afurther statistical test in order to see if we can make a suggestion tostudents about the number of hours they need to study in order to learnthe most in their statistics course.Points2 points2 pointsQuestion39. What statistical test can we use to predict the number ofhours a student needs to study in order to do well instatistics?40. Describe in words the interpretation you would be ableto make based on this additional statistical test?

 

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