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 the University of Virginia. This list contains the data for different Qualitative and Quantitative variables. Your project is to obtain the results based on the following questions using StatCrunch. Copy the StatCrunch results (graph plus answer) into a 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 (in MyLab Statistics) to obtain results for the following questions.

1. A) Exploratory Data Analysis
2. Obtain the mean and standard deviation for ACT Math scores for each class level (freshmen, sophomores, juniors, seniors) and interpret the results
3. Obtain the five-number summary of ACT Math score for each class level. Do any of these class levels have outliers?
4. Construct a boxplot and use it to investigate the data for outliers
5. Construct a histogram, and normal probability plot (QQ Plot) for ACT Math score for each class level
6. B) Inferential Statistics
7. Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.
8. 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 that can be used to predict ACT math scores based on age,

B) Inferential Statistics

1. Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.
2. 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 that can be used to predict ACT math scores based on age,

Write a Summary and Findings of the Project

1. C) Write-up

Write a brief introduction to the project.

o Interpret the mean, and standard deviation in the context of the data given.

o Compare the measures of center and comment on which measure of the 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 the 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 the 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 students at UVA.; Provide an equation that can be used to predict ACT math score based on age; how reliable would the prediction be?

SEX AGE CLASS MATH
F 22 Junior 28
M 21 Senior 23
F 22 Senior 25
M 21 Sophomore 19
M 22 Senior 28
M 21 Junior 26
F 20 Freshman 14
F 22 Senior 23
M 20 Sophomore 18
F 23 Junior 22
F 20 Sophomore 23
F 22 Senior 26
M 20 Sophomore 24
F 22 Senior 24
F 21 Senior 18
F 22 Senior 27
F 21 Junior 20
M 21 Senior 25
F 19 Sophomore 21
M 19 Sophomore 26
F 20 Freshman 22
M 22 Senior 28
M 23 Senior 28
F 23 Sophomore 25
M 19 Freshman 18
M 22 Senior 25
M 21 Senior 28
F 20 Freshman 21
F 21 Sophomore 26
F 24 Senior 18
M 23 Senior 21
F 19 Sophomore 20
M 19 Sophomore 30
M 18 Freshman 25
F 20 Junior 25
M 22 Senior 25
M 19 Sophomore 25
F 20 Sophomore 20
M 21 Senior 32
F 27 Senior 18
M 19 Sophomore 21
F 20 Sophomore 28
F 19 Sophomore 27
F 21 Senior 27
M 20 Freshman 25
F 21 Senior 22
F 19 Sophomore 26
M 21 Junior 17
F 21 Senior 21
F 21 Junior 19
M 20 Junior 23
F 23 Senior 25
M 20 Sophomore 19
M 21 Sophomore 27
M 22 Senior 21
F 20 Junior 19
M 21 Junior 23
M 19 Freshman 26
F 21 Senior 21
F 20 Junior 24
F 22 Junior 16
M 20 Sophomore 22
F 22 Junior 21
M 20 Freshman 25
M 23 Senior 24
M 20 Junior 23
M 22 Senior 27
M 22 Junior 18
F 21 Sophomore 18
M 18 Freshman 30
F 22 Junior 24
F 19 Freshman 24
M 21 Junior 30
F 18 Freshman 21
M 20 Sophomore 20
F 21 Junior 22
M 19 Freshman 23
F 21 Senior 24
F 19 Sophomore 20
F 19 Sophomore 19
F 20 Junior 21
M 19 Freshman 31
F 20 Junior 23
M 22 Senior 26
F 21 Senior 20
M 19 Freshman 19
F 18 Freshman 26
F 21 Sophomore 21
F 21 Senior 21
M 20 Sophomore 27
M 18 Freshman 26
F 20 Junior 26
F 19 Sophomore 26
F 20 Junior 25
M 20 Sophomore 24
F 19 Sophomore 23
M 23 Senior 24
M 21 Junior 25
M 19 Sophomore 30
F 19 Sophomore 25
M 22 Senior 27
F 22 Senior 26
M 22 Senior 26
F 21 Sophomore 21
F 19 Freshman 20
F 22 Senior 25
F 22 Senior 30
F 20 Sophomore 22
F 18 Freshman 24
F 21 Senior 22
F 22 Senior 23
F 18 Freshman 20
F 20 Sophomore 21
M 22 Junior 20
M 24 Senior 24
F 21 Junior 19
F 19 Sophomore 21
F 20 Junior 23
F 21 Junior 20
F 21 Junior 18
M 20 Sophomore 24
M 22 Senior 31
M 20 Sophomore 21
F 21 Senior 24
M 20 Sophomore 15
M 35 Senior 28
M 20 Sophomore 22
M 21 Senior 29
F 19 Freshman 24
M 22 Senior 21
M 21 Junior 26
M 21 Junior 27
F 19 Sophomore 26
M 22 Senior 22
M 20 Sophomore 28
F 22 Senior 19
F 22 Junior 28
F 19 Freshman 22
M 20 Junior 28
F 23 Senior 23
F 19 Freshman 18
M 22 Senior 29
M 21 Sophomore 17
M 22 Senior 25
F 20 Sophomore 23
M 21 Senior 20
F 20 Junior 17
F 21 Junior 26
F 18 Sophomore 25
F 23 Senior 24
F 20 Sophomore 26
M 23 Senior 27
M 22 Junior 24
F 20 Sophomore 21
M 22 Senior 24
F 20 Junior 30
F 19 Sophomore 32
M 23 Senior 23
F 21 Junior 34
F 19 Sophomore 25
M 20 Junior 26
M 21 Junior 26
F 18 Freshman 27
F 20 Junior 26
F 20 Sophomore 17
F 20 Junior 30
F 19 Sophomore 16
F 19 Sophomore 26
F 20 Sophomore 17
F 20 Sophomore 23
F 20 Sophomore 18
F 21 Junior 29
F 21 Senior 23
F 22 Senior 21
F 35 Junior 17
F 22 Senior 27
M 22 Junior 27
F 20 Junior 28
F 19 Freshman 23
F 20 Junior 29
F 22 Junior 15
M 21 Senior 25
F 22 Junior 23
M 20 Junior 31
M 20 Sophomore 19
M 22 Senior 27
M 24 Senior 20
M 22 Senior 19
M 19 Sophomore 29
F 21 Junior 19
F 19 Sophomore 26
F 22 Junior 24
F 32 Senior 26
F 21 Junior 32
F 18 Freshman 24
F 20 Sophomore 18
F 21 Junior 19
F 20 Sophomore 29
F 22 Senior 21
F 20 Sophomore 20