Question

# In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided...

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 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 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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