Description
Purpose:
This project is to help you apply concepts to real world, real data analysis. In the real-world computers do most of the hard work for statisticians. This project will help you understand how an informative decision is made using data analysis. After completing this project, you should be able to determine which statistical procedures are appropriate; use StatCrunch to carry out the procedures and interpret the output
The Database of UVA (Excel file) students contains information on the undergraduate students at University of Virginia. This list contains the data for different Qualitative and Quantitative variable. Your project is to obtain the results based on the following questions using StatCrunch. Copy the StatCrunch results (graph plus answer) into summary document using the guidelines in section C.
Directions:
Do all of the work below with the Database of MATH ACT SCORES Download MATH ACT SCORES
Data: The Data set is on the project page on canvas(MATH ACT SCORES). Use StatCrunch to obtain results for the following questions.
A) Exploratory Data Analysis
Obtain the mean and standard deviation for ACT Math scores for each class level (freshmen, sophomores, juniors, seniors) and interpret the results
Obtain the five number summary of ACT Math score for each class levels. Do any of these class levels have outliers?
Construct a boxplot and use it to investigate the data for outliers
Construct a histogram, and normal probability plot (QQ Plot) for ACT Math score for each class level.
B) Inferential Statistics
Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.
Using regression analysis (hint, use scatter plot, r, r2 ) , investigate if there is a relationship between Age and performance in ACT Math score.; . provide an equation can be used to predict ACT math score based on age,
Write a Summary and Findings of the Project
- C) Write-up
Write a brief introduction of the project.
o Interpret the mean, and standard deviation in context of the data given.
- o Compare the measures of center and comment on which measure of center would best describe the data given.
o Comment on the shape of the distribution, which class level appears to be more approximately normal
- o Are there any outliers in the data? Include results of your investigation for outliers. Identify which class level has an outlier
- o Comment on your assessment of normality.
- o Which test will be most appropriate for the inferential statistics (confidence Interval)? Z-test or t-test? Why?
- o Write an interpretation for the confidence interval estimate in context of the data.
o State the summary, interpretation and conclusion of your Investigation if there is a relationship between Age and performance in ACT Math score of undergraduate student at UVA.; Provide an equation can be used to predict ACT math score based on age; how reliable would the prediction be?
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Explanation & Answer
View attached explanation and answer. Let me know if you have any questions.Hey there, I hope you are doing wellHere is the word document with the parts you need for your final project.😊 Please, let me know if you have any questions about it 😀
Outline for Math project
This is a brief outline to explain the order of the final document.
1. Cover
2. Write up
2.1 Introduction
2.2 Exploratory Data Analysis
2.3 Inferential Statistics
3. Appendix
Title: Final Project
Course Number:
Section Number:
Student Name:
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Write Up
Introduction.
This project will help to apply statistics concepts to real world, real data analysis. The
project will help students to understand how an informative decision is made using data
analysis.
Exploratory Data Analysis
Obtain the mean and standard deviation for ACT Math scores for each class level
(freshmen, sophomores, juniors, seniors) and interpret the results.
The mean for Freshman students was 23.12 with a standard deviation of 3.80. This suggests that
Freshman students got on an average score of 23.12 in ACT Math. Also, the standard deviation
suggests that the average distance between t...