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STAT225

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;;STAT225 Spring 2014;Final Project;There are a possible 100 points on this final project. The final project is worth 24% of your final grade.;The final project is due on March 30, 2014. There will be no extensions or opportunity to revise available on this assignment. Please make sure you have posted this work to your Assignments Folder by midnight on Sunday, March 30, 2014.;If you have any questions about this assignment, please post them to the Questions about the Final Project main topic within the Final Project conference.;At the University of Mytholopolois the head of the statistics department wants to find out whether or not 7 basic topics are being adequately learned in introductory statistics courses. A test is written that has 7 questions, one question addressing each of the main topics under consideration. These topics are;1 - measurement scales;2 - measures of central tendency;3 - standard deviation;4 - normal curve and empirical rule;5 - t-tests;6 - ANOVA;7 - correlation and regression;This brief test is going to be administered to all students registered in the introductory statistics course at the beginning of the first session and the end of the last session. This is a pre-test/post-test design. But before this full scale data collection effort begins the department is going to test this little instrument. Eight students are selected to use as a test group. The following is a table of the student scores in the pre-test condition and the post-test condition.;This final project is asking you to consider 4 different statistical tests. The first is what the department head is looking for, the second is an extension of that with a further breakdown of information, the third is looking for a relationship between two different variables and the fourth is asking what test you would use to predict a students score.;Student;Sex;Pre-test;Post-test;Hours per week studying statistics;Matilda;F;4;6;15;Franklin;M;2;5;18;Lily;F;4;7;13;Paul;M;3;6;11;Louise;F;5;5;7;Golda;F;4;6;12;Duncan;M;2;5;14;Philip;M;6;7;9;There is a limited amount of data presented here because I don't want to overwhelm you with long calculations. Please assume that the distribution is normal.;Answer the following questions about this problem.;Preliminary information about the data (36 points);Points;Question;3 points;1. What is the head of the statistics department trying to find out?;4points;2. What are the data elements (variables) that are being collected by the researcher?;4 points;3. What is the measurement scale of the each of the variables of interest?;2 points;4. What is the mean of the pre-test scores?;2 points;5. What is the median of the post-test scores?;2 points;6. In both the pre and post test conditions, considering these as a single sample, what is the mode? (There should be 16 values considered.);2 points;7. What is the range of the hours studied values?;3 points;8. Can you calculate a mean for the sex of the students involved in this pilot study? Explain your answer.;6 points;9. What is the standard deviation of the pre-test scores? Please show all your work. You don't have to do the standard deviation of the post-test scores.;3 points;10. Looking at the pre-test is the distribution of these scores normal? Demonstrate this with a stem and leaf plot (you'll need to look this up on the web).

 

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