statistics 1040-048 group 1 elisabeth brino jamie derbidge slade litten kristen kidder jamie

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