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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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