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• 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

6. Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.

7 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?

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

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