Question: In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with a

In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with a 5% P-value or 95% confidence interval.

The empirical literature suggests that class absenteeism undermines students’ academic performance and that an enforced mandatory attendance policy may be beneficial.

Open Attendance data. Using data on 90 second-year students enrolled in a Statistics course, test if students who are assiduous in attending lectures have higher final grades than students who are usually absent.

1. What test/procedure did you perform? (5 points)

  • a. One-sided t-test
  • b. Two-sided t-test
  • c. Regression
  • d. Confidence Interval

2. What is the P-value/margin of error? (5 points)

  • a. 0.005589
  • b. 0.02794
  • c. 0.05589
  • d. 0.002794

3. What is the Statistical interpretation? (5 points)

  • a. The P-value is smaller than 0.5 thus we are confident to say that assiduous students have higher final grades.
  • b. The P-value is greater than 5% thus the answer is inconclusive.
  • c. The P-value is much smaller than 5% thus we are very certain that the slope is not zero.
  • d. None of these

4. What is the conclusion? (5 points)

  • a. The test is inconclusive and more data is needed.
  • b. We are confident that regular attending students have higher final grades than absentee students.
  • c. We cannot be confident that students who are assiduous in attending lectures have higher final grades than students who are usually absent.
  • d. Since the test is inconclusive the conclusion is inconclusive as well.
  • e. None of these.

    In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with a 5% P-value or 95% confidence interval.

    The empirical literature suggests that class absenteeism undermines students’ academic performance and that an enforced mandatory attendance policy may be beneficial.

    Open Attendance data. Using data on 90 second-year students enrolled in a Statistics course, test if students who are assiduous in attending lectures have higher final grades than students who are usually absent.

    1. What test/procedure did you perform? (5 points)

  • a. One-sided t-test
  • b. Two-sided t-test
  • c. Regression
  • d. Confidence Interval
  • 2. What is the P-value/margin of error? (5 points)

  • a. 0.005589
  • b. 0.02794
  • c. 0.05589
  • d. 0.002794
  • 3. What is the Statistical interpretation? (5 points)

  • a. The P-value is smaller than 0.5 thus we are confident to say that assiduous students have higher final grades.
  • b. The P-value is greater than 5% thus the answer is inconclusive.
  • c. The P-value is much smaller than 5% thus we are very certain that the slope is not zero.
  • d. None of these
  • 4. What is the conclusion? (5 points)

  • a. The test is inconclusive and more data is needed.
  • b. We are confident that regular attending students have higher final grades than absentee students.
  • c. We cannot be confident that students who are assiduous in attending lectures have higher final grades than students who are usually absent.
  • d. Since the test is inconclusive the conclusion is inconclusive as well.
  • e. None of these.

DATA:

absent  assiduous

60      90

80      40

80      70

70      60

70      100

40      100

60      100

70      90

90      90

70      50

70      90

50      30

70      10

90      40

40      80

60      90

50      80

30      40

70      70

50      40

40      70

60      50

0       60

70      90

20      90

10      80

70      60

60      80

20      70

70      30

80      80

20      40

40      60

30      80

60      60

40      90

20      70

90      70

60      80

        40

        100

        70

        60

        70

        80

        90

        70

        60

        40

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