Question

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

# of OpenLab visits Final grade 2 40 8 85 10 80 9 84 15 90 7 72 5 50 4 59 8 85 10 70 7 66 7 70 5 63 4 60 4 59 11 79 3 82 9 90 10 82 9 76 14 85 6 73 5 41 4 56 8 80 10 70 7 66 9 88 5 65 4 70 4 62 11 90

**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. Why did you choose this test/procedure? Because… (5
points)**

- a. We are checking if number of visits influences final grade.
- b. We are checking if two averages are significantly different.
- c. We are checking if the average of one variable is larger than the average of the other variable.
- d. We are comparing the average final grade with a specific number.

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

- a. 7.19248E-07
- b. 3.59609E-07
- c. 2.55531E-06
- d. 4.161353

**4. What is the Statistical interpretation? (5
points)**

- a. The P-value is much smaller than 5% thus we are very certain that the slope is not zero.
- b. The P-value is much smaller than 5% thus the test result is conclusive.
- c. The P-value is much smaller than 5% thus we can claim that the number of visits to open lab sessions is related to final grade.
- d. The prediction interval for the true average final grade of students with 8 or more visits to open lab is [78.64454, 85.88879]

**5. What is the conclusion? (5 points)**

- a. We are confident that more visits to open lab sessions lead to higher final grades.
- b. We are confident that students with 8 or more visits to open lab sessions have average final grade greater than students with less than 8 visits.
- c. We are NOT confident that students with 8 or more visits to open lab sessions have average final grade greater than students with less than 8 visits.
- d. None of these.

Answer #1

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.
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# of OpenLab visits
Final grade
2
40
8
85
10
80
9
84
15
90
7
72
5
50
4
59
8
85
10
70
7
66
7
70
5
63
4
60
4
59
11
79
3
82
9
90
10
82
9
76
14
85
6
73
5
41
4
56
8
80
10
70
7
66
9
88
5
65
4
70
4
62
11
90
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