1. Statistics 1040-048 Group 1 Elisabeth Brino Jamie Derbidge Slade Litten Kristen Kidder Jamie

2. Our Question: For students at Salt Lake Community College with a class in common with members of our group (group 1) is number of children related to GPA? Jamie

3. Summary of our Project Our group designed this question with the purpose of relating number of children with GPA. Elisabeth

4. First we gathered some ideas for the project. After deciding the right question we wrote a standard questionnaire to collect data. Elisabeth

5. Questionnaire Fellow Students, I am taking a statistics class this semester and am required to complete a group statistics project. I am currently collecting data for our project and hoping you will help me out. I need only your answer to these two simple questions: 1. How many kids do you have? _________(If none write zero) And 2. What is your GPA? __________ We will only be using these two numerical values, no names to complete our project. Thanks for your help, (Your name) Elisabeth

6. To collect our data we used cluster sampling. We wrote a standard questionnaire for use by each member of our group. Each member of our group administered the questionnaire to each student in one class here at Salt Lake Community College, either in person or via e- mail. Elisabeth

7. We randomly selected 1/3 of the classes and cluster sampled them. We had 16 classes total for our group so we need to sample 6 classes. We used excel to generate a random sample for our classes. Elisabeth

8. We assigned each class a random number then sorted the numbers and took the first six classes for our sample, then we sampled the classes randomly selected. Elisabeth

9. Data Number of kidsGPA 02.5 0 0 0 02.64 02.7 0 0 0 0 02.8 0 Number of KidsGPA 02.8 0 0 02.9 0 03 03 03.1 03.2 0 0 0 Elisabeth

10. Data Number of kidsGPA 03.3 03.36 03.39 03.4 03.5 0 0 03.6 0 03.61 0 03.7 Number of KidsGPA 03.7 0 0 03.8 0 0 03.83 03.85 03.87 03.9 12 12.87 Elisabeth

11. Data Number of KidsGPA 13 13.1 13.25 13.5 13.75 1 13.9 22.11 22.3 22.6 23 23.2 Number of KidsGPA 23.3 23.4 23.7 33.1 33.3 33.6 52.8 63.96 Elisabeth

12. Statistics 1st Variable: Number of Children According to our collective data, we did a cluster sample of 68 students. The results representing the students in relation to the number of kids they have are the following: Number of KidsCluster Sample Total 046 students 19 students 28 students 33 students 40 students 51 student 6 Kristen

13. Additional Statistics 1st Variable: Number of Children MEAN: 0.65217394 STANDARD DEVIATION: 1.2105672 5-NUMBER SUMMARY: 0, 0, 0, 1, 6 RANGE: 6 MODE: 0 OUTLIERS: 3, 5, 6 Jamie

14. Graphs for 1st Variable: Number of Children Kristen

15. Histogram and Boxplot for 1 st Variable: Number of Children Jamie

16. Statistics for 2nd Variable: GPA MEAN: 3.2026086 STANDARD DEVIATION: 0.46609345 5-NUMBER SUMMARY: 2.11, 2.8, 3.2, 3.61, 3.96 RANGE: 1.85 MODE: 2.8 OUTLIERS: None Jamie

17. Graphs for 2nd Variable: GPA Jamie

18. Statistics for Testing Correlation Linear Correlation Coefficient: Correlation between number of children and GPA is computed and is shown to be 0.015966596. Equation for Line of Regression: ỹ =0.006147(X)+3.198599 Jamie

19. Summary of Results When comparing the two variables to each other we find that there is not a strong correlation between the variables with the linear correlation coefficient being computed at only 0.015966596. Jamie

20. Critical Value When you look up the critical value for the sample size with a degree of freedom (df) of 2 and a 0.05 level of significance you find that the critical value for our sample is.232. From this we determine our correlation coefficient is less than.232 and therefore we determine that we cannot be 95% confident that a relationship exists. Jamie

21. Results  The overall average of students without kids had a lower GPA than students who had children.  Students with one child had a better average GPA than students with two children.  The highest GPA was achieved from a student who had the most children out of everyone. Slade