Question;STAT225;Summer 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 July 13, 2014. There will be no extensions or;opportunity to revise on this assignment. Please make sure you have;posted this work to your Assignments Folder by midnight on Sunday, July 13;2014. You may post your Final Project as;an attachment in your Assignments Folder.;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.;Description of the Research;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, along with some other important;information.;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;Hope;F;4;6;15;Franklin;M;2;5;18;Lily;F;4;7;13;Paul;M;3;6;11;Dorothy;F;5;5;7;Luna;F;4;6;12;Duncan;M;2;5;14;Swabby;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 (33 points);Points;Question;3;points;1.;What is the head of the statistics department trying to find out?;4;points;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?;What is the mean telling you?;2;points;5.;What is the median of the post-test scores?;What is the median telling you?;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.) What is the mode telling you?;2;points;7.;What is the range of the hours studied?;What is the range telling you?;3;points;8.;Can you calculate a mean for the sex of the students involved in this pilot;study? Explain your answer.;4 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. What is the standard deviation telling you;about the pre-test scores?;2 points;11.;State the percentages of the empirical rule.;2;points;12. What is the difference between a population;and a sample? Be specific and give an;example of a single group where in one situation it would be a population and;in another situation this same group would be a sample.;First;statistical test (32 points);Points;Question;2;points;13.;What statistical test are you going to use to find out whether there is a;significant difference between the pre-test sample and the post-test;sample? Be specific.;3;points;14.;Explain why this test is appropriate.;Include in your answer three of the assumptions of the test you're;proposing and explain why each is important.;2;points;15.;What is the null hypothesis for this problem?;2;points;16.;What is the research or alternative hypothesis for this problem?;5;points;17.;Perform the calculations for your proposed statistical test and show your;work and your answer.;2;points;18.;What is your observed value?;2;points;19.;What are your degrees of freedom?;2;points;20.;Is this a one-tailed or two-tailed test?;Explain why.;2;points;21.;What table are you going to use to find your critical value? Please be specific and give the page number;from Aron, Coups and Aron.;2;points;22.;What is your critical value? Your p value should be.05.;2;points;23.;Based on your observed and critical values, is the difference between these;two groups significant?;3;points;24.;What conclusion can you draw from your result? State your conclusion in;words, based on your null hypothesis.;3;points;25. Describe what a a Type I error and a Type;II would be for this particular study.;Second;statistical test (16 points);In;your first statistical test you tried to find out whether or not there was a;difference between two groups of test scores, the pre-test and the;post-test. What if we wanted to find out if there was a difference;between the pre- and post- test scores broken down by sex?;Points;Questions;4;points;26.;How many groups are there for this analysis considering pre-test data;post-test data and sex? Name them.;2;points;27.;What statistical test would propose to find out if there is a difference;between these groups?;2;points;28.;What would your null hypothesis be for this additional analysis?;2;points;29.;What would your research hypothesis be for this additional analysis?;2;points;30.;In general, what conclusion could you draw from that statistical test?;2;points;31.;In general, what conclusion can't you draw from this statistical test?;2;points;32.;What additional statistical test do you need to perform in 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 out whether there;was a difference between the way various groups performed on the SAME;variable. In this third scenario we want to find out whether there is a;relationship between TWO different variables.;Points;Questions;2;points;33.;What statistical test do you propose to find out the relationship between;post-test scores and the number of hours studied?;3;points;34. What formula would you use to find the;relationship between the post-test scores and the number of hours studied?;4;points;35. Using this formula, what would your result;be? Show all your work, please.;2;points;36. How would you interpret your result?;2;points;37.;In general, what can you conclude from this statistical test?;2;points;38.;In general, what can't you conclude from this statistical test?;Fourth;statistical test (4 points);Now, based on the result of the third test, we can conduct a further;statistical test in order to see if we can make a suggestion to students about;the number of hours they need to study in order to learn the most in their;statistics course.;Points;Question;2;points;39.;What statistical test can we use to predict the number of hours a student;needs to study in order to do well in statistics?;2;points;40. Describe in words the interpretation you;would be able to make based on this additional statistical test?
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