You are a researcher examining student success at Kern County colleges and universities. You noticed that majority of students in Kern County are not performing as well as the students in Los Angeles County and San Luis Obispo County. Therefore, you decided to research factors that influence student success. One factor repeated in several literatures is a support system. Previous literature indicated that students who have a support system that values education will perform better in higher education than students who do not have a support system that values education. You decided to assess the support system of students in Kern County. Your independent variable is “support system.” You have two levels for your support system “students with a support system that values education” and “students without a support system that values education.” Your dependent variable that you are measuring is “college success.” You are measuring college success by assessing the student’s GPA. You interview 80 students with and without support systems and measured their GPAs. You obtained 41 student participants with a support system and 39 students without a support system. With the results obtained from the data, you will be able to generalize from the sample of 41 Kern County colleges and universities students to the population of all students in Kern County colleges and universities. *Use the following standard deviations if you decided to calculate the independent t-test by hand: .555 for the group without a support system and .324 for the group with a support system. Here is the GPA data that you obtained: Students with Support System that Values Education Students without Support System that Values Education 4 3.8 3.9 3.7 3.8 2.9 3.7 2.8 3.5 2.6 3.2 2.4 3 3 4 3.4 3.8 2.6 3.7 2.5 3.6 2.3 3.1 2.1 3.2 2 3.8 3 3.7 3.1 3.9 2.7 3.9 2.5 3.7 2.4 3.7 2.4 3.6 3.1 3.5 3.2 3.1 3.6 3.3 3.9 3.3 4 3.2 2.1 3.5 2.5 3.4 2.6 3.1 2.4 2.9 2.7 3 3.4 2.9 3.2 3.3 3.1 3.4 3.8 3.6 3.7 3.4 2.4 3.5 2.1 3.6 2.6 3.8 2.8 3.1 2.7 4 3.8 What is the sample? What is the population? What is the independent variable? What are the levels for your independent variable? What is the dependent variable? Please answer questions 1-5, I will request questions 6-13 in another question
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
You are a researcher examining student success at Kern County colleges and universities. You noticed that majority of students in Kern County are not performing as well as the students in Los Angeles County and San Luis Obispo County. Therefore, you decided to research factors that influence student success. One factor repeated in several literatures is a support system. Previous literature indicated that students who have a support system that values education will perform better in higher education than students who do not have a support system that values education. You decided to assess the support system of students in Kern County. Your independent variable is “support system.” You have two levels for your support system “students with a support system that values education” and “students without a support system that values education.” Your dependent variable that you are measuring is “college success.” You are measuring college success by assessing the student’s GPA. You interview 80 students with and without support systems and measured their GPAs. You obtained 41 student participants with a support system and 39 students without a support system. With the results obtained from the data, you will be able to generalize from the sample of 41 Kern County colleges and universities students to the population of all students in Kern County colleges and universities.
*Use the following standard deviations if you decided to calculate the independent t-test by hand: .555 for the group without a support system and .324 for the group with a support system.
Here is the GPA data that you obtained:
|
Students with Support System that Values Education |
Students without Support System that Values Education |
|
4 |
3.8 |
|
3.9 |
3.7 |
|
3.8 |
2.9 |
|
3.7 |
2.8 |
|
3.5 |
2.6 |
|
3.2 |
2.4 |
|
3 |
3 |
|
4 |
3.4 |
|
3.8 |
2.6 |
|
3.7 |
2.5 |
|
3.6 |
2.3 |
|
3.1 |
2.1 |
|
3.2 |
2 |
|
3.8 |
3 |
|
3.7 |
3.1 |
|
3.9 |
2.7 |
|
3.9 |
2.5 |
|
3.7 |
2.4 |
|
3.7 |
2.4 |
|
3.6 |
3.1 |
|
3.5 |
3.2 |
|
3.1 |
3.6 |
|
3.3 |
3.9 |
|
3.3 |
4 |
|
3.2 |
2.1 |
|
3.5 |
2.5 |
|
3.4 |
2.6 |
|
3.1 |
2.4 |
|
2.9 |
2.7 |
|
3 |
3.4 |
|
2.9 |
3.2 |
|
3.3 |
3.1 |
|
3.4 |
3.8 |
|
3.6 |
3.7 |
|
3.4 |
2.4 |
|
3.5 |
2.1 |
|
3.6 |
2.6 |
|
3.8 |
2.8 |
|
3.1 |
2.7 |
|
4 |
|
|
3.8 |
- What is the sample?
- What is the population?
- What is the independent variable?
- What are the levels for your independent variable?
- What is the dependent variable?
Please answer questions 1-5, I will request questions 6-13 in another question
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