1. What is the head of the statistics department trying to find out?
2. What are the data elements (variables) that are being collected by the researcher?
3. What is the measurement scale of the each of the variables of interest?
4. What is the mean of the pre-test scores? What is the mean telling you?
5. What is the median of the post-test scores? What is the median telling you?
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?
7. What is the range of the hours studied? What is the range telling you?
8. Can you calculate a mean for the sex of the students involved 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 the standard deviation of the post-test scores.)
10. What is the standard deviation telling you about the pre-test scores?
11. State the percentages of the empirical rule.
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.
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.
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.
15. What is the null hypothesis for this problem?
16. What is the research or alternative hypothesis for this problem?
17. Perform the calculations for your proposed statistical test 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 critical value? Please be specific and give the page number from Aron, Coups and Aron.
22. What is your critical value? Your p value should be .05.
23. Based on your observed and critical values, is the difference between these two groups significant?
24. What conclusion can you draw from your result? State your conclusion in words, based on your null hypothesis.
25. Describe what a a Type I error and a Type II would be for this particular study.
26. How many groups are there for this analysis considering pre-test data, post-test data and sex? Name them.
27. What statistical test would propose to find out if there is a difference between these groups?
28. What would your null hypothesis be for this additional analysis?
29. What would your research hypothesis be for this additional analysis?
30. In general, what conclusion could you draw from that statistical test?
31. In general, what conclusion can't you draw from this statistical test?
32. What additional statistical test do you need to perform in order to find out where the actual difference lies?
33. What statistical test do you propose to find out the relationship between post-test scores and the number of hours studied?
34. What formula would you use to find the relationship between the post-test scores and the number of hours studied?
35. Using this formula, what would your result be? Show all your work, please.
36. How would you interpret your result?
37. In general, what can you conclude from this statistical test?
38. In general, what can't you conclude from this statistical test?
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.
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?
40. Describe in words the interpretation you would be able to make based on this additional statistical test?