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Essay Available:
Pages:
2 pages/β‰ˆ550 words
Sources:
No Sources
Style:
APA
Subject:
Mathematics & Economics
Type:
Statistics Project
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 10.37
Topic:

T-Test Application and Interpretation

Statistics Project Instructions:

Variable Definition
Review Attended review sessions?: 1 = no; 2 = yes
Final Final exam: Number of correct answers
Step 1: Write Section 1 of the DAA: The Data Analysis Plan
Name the variables used in this analysis and whether they are categorical or continuous.
State a research question, null hypothesis, and alternate hypothesis for the independent samples t-test.
Step 2: Write Section 2 of the DAA: Testing Assumptions
Test for one of the assumptions of t tests – equality (homogeneity) of variances.
Create statistical output showing the Levene's Test for Equality Variances.
Paste the table in the DAA template.
Interpret the Levene's test.
Step 3: Write Section 3 of the DAA: Results and Interpretation
If the homogeneity assumption is not violated (Section 2), run the “Student” version of the independent samples t test in the statistical software.
If the homogeneity assumption is violated, run the “Welch” version of the independent samples t-test in the statistical software.
Also, run the “Descriptives” option to obtain the means and standard deviations for each group.
Paste the statistical software output of the t test into the DAA template. Below the output:
Report the means and standard deviations for each group.
State the results of the t test.
Interpret the statistical results against the null hypothesis and state whether it is rejected or not rejected.
Step 4: Write Section 4 of the DAA: Statistical Conclusions
Provide a brief summary of your analysis and the conclusions drawn about this t test.
Analyze the limitations of the statistical test and/or possible alternative explanations for your results.
Step 5: Write Section 5 of the DAA: Application
Analyze how you might use the independent samples t test in your field of study.
Name an independent variable and dependent variable that would work for such an analysis and why studying it may be important to the field or practice.
Submit your DAA template as an attached Word document in the assignment area.

Statistics Project Sample Content Preview:
Section 1: Data Analysis Plan
In this analysis, two variables were examined. The first variable, "Review" is a categorical variable with two distinct categories. Participants were assigned a value of 1 if they did not attend any review sessions, while a value of 2 was given to those who attended review sessions. The second variable, "Final exam," is a continuous variable that measures the number of correct answers obtained by each participant in the final exam. By analyzing these variables, the study aimed to explore any potential relationship between attending review sessions and the performance of participants in the final exam using independent sample t-tests.
Research Question:
Is there a significant difference in the mean scores on the final exam between students who attended review sessions and those who did not?
Null Hypothesis (H0):
There is no significant difference in the mean scores on the final exam between students who attended review sessions and those who did not.
Alternate Hypothesis (H1):
There is a significant difference in the mean scores on the final exam between students who attended review sessions and those who did not.
Section 2
Assumption Checks
Test of Equality of Variances (Levene's)

 

F

df1

df2

p

final


0.740


1


103


0.392



The Levene's test yielded a p-value of 0.392. Since this p-value is greater than the conventional significance level of 0.05 (assuming a 95% confidence level), I did not reject the null hypothesis. Therefore, there is no significant difference in the variances of the final exam scores between the two groups (students who attended review sessions and those who did not). As a result, the assumption of equality of variances is met.
Section 3
Independent Samples T-Test
Independent Samples T-Test


t

df

p

final


-0.410


103


0.682



Note.  Student's t-test.

Descriptives
Group Descriptives

 

Group

N

Mean

SD

SE

Coefficient of variation

final


Attended review session


55


61.545


7.356


0.992


0.120


 


Did not attend review session


50


62.160


7.993


1.130


0.129



Results
The t-test comparing the mean scores on the final exam between students who attended review sessions and those who did not yielded a t-value of -0.410 with 103 degrees of freedom (df). The corresponding p-value was found to be 0.682.
Interpretation
The p-value obtained from th...
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