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 5% P-value or 95% confidence interval.

Use the same MathCreditsSalary data. SETUP: Is it reasonable to claim that people who took more than 10 math credits will have average salary of 41000 or more?

5. What test/procedure did you perform?

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

6. What is the P-value/margin of error?

• a. 2.30791
• b. 0.00166
• c. 4.72877
• d. 5.21228
• e. None of these

7. Statistical interpretation

• a. Since the P-value is too large, the above claim is not reasonable.
• b. Since the P-value is small enough, the above claim is reasonable.
• c. We are 95% certain that the confidence interval is [39.98, 46.52].
• d. None of these.

8. Conclusion

• a. Yes, I am confident that the above claim is correct.
• b. No, we cannot claim that the above claim is correct.

DATA:

MathCredits     Salary000
7       42
0       31
7       34
9       37
8       59
6       44
14      54
8       56
14      52
19      43
26      54
15      40
24      53
4       36
1       24
14      49
0       33
4       48
18      29
11      40
5       45
0       40
12      58
0       31
0       42
18      56
13      37
7       32
6       30
3       53
5       39
1       44
0       36
17      55
20      58

Answer 1

5) Correct Answer: c) Regression

6) The p-value is 0.0182

Correct Answer: e) None of these

7) Answer: b) Since the P-value is small enough, the above claim is reasonable.

8) Answer: a) Yes, I am confident that the above claim is correct.