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Statistics 1040-048
Group 1Elisabeth BrinoJamie Derbidge
Slade LittenKristen Kidder
Jamie
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
Summary of our Project
Our group designed this question with the
purpose of relating number of children with
GPA.
Elisabeth
First we gathered some ideas for the project. After deciding the right question
we wrote a standard questionnaire to collect
data. Elisabeth
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) And2. 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
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
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
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
Data
Number of kids GPA
0 2.5
0 2.5
0 2.5
0 2.5
0 2.64
0 2.7
0 2.7
0 2.7
0 2.7
0 2.7
0 2.8
0 2.8
Number of Kids GPA
0 2.8
0 2.8
0 2.8
0 2.9
0 2.9
0 3
0 3
0 3.1
0 3.2
0 3.2
0 3.2
0 3.2Elisabeth
Data
Number of kids GPA
0 3.3
0 3.36
0 3.39
0 3.4
0 3.5
0 3.5
0 3.5
0 3.6
0 3.6
0 3.61
0 3.61
0 3.7
Number of Kids GPA
0 3.7
0 3.7
0 3.7
0 3.8
0 3.8
0 3.8
0 3.83
0 3.85
0 3.87
0 3.9
1 2
1 2.87Elisabeth
Data
Number of Kids GPA
1 3
1 3.1
1 3.25
1 3.5
1 3.75
1 3.75
1 3.9
2 2.11
2 2.3
2 2.6
2 3
2 3.2
Number of Kids GPA
2 3.3
2 3.4
2 3.7
3 3.1
3 3.3
3 3.6
5 2.8
6 3.96
Elisabeth
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 Kids Cluster Sample Total
0 46 students
1 9 students
2 8 students
3 3 students
4 0 students
5 1 student
6 1 studentKristen
Additional Statistics 1st Variable: Number of
ChildrenMEAN: 0.65217394
STANDARD DEVIATION: 1.2105672
5-NUMBER SUMMARY: 0, 0, 0, 1, 6
RANGE: 6
MODE: 0
OUTLIERS: 3, 5, 6
Jamie
Graphs for 1st Variable: Number of Children
Kristen
Histogram and Boxplot for 1st Variable: Number
of Children
Jamie
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
Graphs for 2nd Variable: GPA
Jamie
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
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
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
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