STAT225 Spring 2014 Final Project

STAT225 Spring 2014
Final Project (Download link : HERE)
   
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). 
5 points
11. State the percentages of the empirical rule.
First statistical test (29 points):
Points
Question
2 points
12.  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
13.  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
14.  What is the null hypothesis?
2 points
15.  What is the research hypothesis?
5 points
16.  Perform the calculations for your proposed statistical test and show your work and your answer.
2 points
17.  What is your observed value?
2 points
18.  What are your degrees of freedom?
2 points
19.  Is this a one-tailed or two-tailed test?
2 points
20.  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
21.  What is your critical value?  Your p value should be .05.
2 points
22.  Based on your observed and critical values, is the difference between these two groups significant?
3 points
23.  What conclusion can you draw from your result?  State your conclusion in words, based on your null hypothesis.

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
24. How many groups are there for this analysis considering pre-test data, post-test data and sex?  Name them.
2 points
25.  What statistical test would propose to find out if there is a difference between these groups?
2 points
26.  What would your null hypothesis be for this additional analysis?
2 points
27.  What would your research hypothesis be for this additional analysis?
2 points
28.  In general, what conclusion could you draw from that statistical test?
2 points
29.  In general, what conclusion can't you draw from this statistical test?
2 points
30.  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
31.  What statistical test do you propose to find out the relationship between post-test scores and the number of hours studied?
3 points
32.  What formula would you use to find the relationship between the post-test scores and the number of hours studied?
4 points
33.  Using this formula, what would your result be?
2 points
34.  How would you interpret your result?
2 points
35.  In general, what can you conclude from this statistical test?
2 points
36.  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
37.  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
38.  Describe in words the interpretation you would be able to make based on this additional statistical test?

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