Question

In what follows use any of the following tests/procedures: Regression, multiple regressions, 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.

Upload data HeartRate_Exercise. These data are based on 45 randomly chosen High school students.

SETUP: Is it reasonable to claim that students who do not exercise or exercise less than 10 hours a week have higher average heart beat rate at rest than those who exercise 10 hours or more a week. Given the data your job is to confirm or disprove this claim.

9. What test/procedure did you perform?

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

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

• a. 7.064974
• b. 0.089476
• c. 0.016303
• d. 0.032605
• e. None of these

11. Statistical Interpretation

• a. Since the P-value is very small, the test is conclusive.
• b. Since the P-value is very small, we are very confident that the averages are different.
• c. Since the P-value is very large, the test is inconclusive
• d. We are 95% certain that the confidence interval is [58.82, 72.95].
• e. None of these

12. Conclusion

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

weekly exercise (hours)	Heart Rate at rest
16	55
2	76
3	78
17	46
19	76
3	68
19	61
12	68
15	48
2	71
4	72
2	81
10	64
9	61
0	73
0	84
5	72
16	58
0	77
19	54
4	79
8	73
6	85
17	57
2	75
7	85
13	73
3	75
8	84
6	52
5	60
18	69
1	66
19	90
19	64
5	65
0	74
2	55
18	67
2	78
0	71
18	76
11	76
13	84
0	91

Answer 1

Let sample 1 : who do not exercise or exercise less than 10 hours a week

sample 2: who exercise 10 hours or more a week

Following table shows the data in groups:

X1	X2
73	64
84	76
77	68
74	73
71	84
91	48
66	55
76	58
71	46
81	57
75	69
55	67
78	76
78	76
68	61
75	54
72	90
79	64
72
60
65
85
52
85
73
84
61

Following is the output of t test generated by excel:

----------------

9: One sided t test

10:

The p-value is : 0.0116

Correct option:

e. None of these

11:

Since p-value is small so we reject the null hypothesis.

Correct option:

e. None of these

12:

a. Yes, I am confident that the above assertion is correct.