Question

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

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

SETUP: It is believed that high school students who do not exercise have a heart rate (at rest) above 70. Given the data your job is to confirm or disprove this belief.

1. What test/procedure did you perform?

a. One-sided t-test

b. Two-sided t-test

c. Regression

d. Confidence interval

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

a. 1.56075E-45

b. 3.1215E-45

c. 6.149555

d. 8.065421

e. None of these

3. Statistical interpretation

a. Since the P-value is very small, we are confident that the average heart rate is above 70.

b. Since the P-value is very small, we are very confident that the averages are different.

c. Since the P-value is very small, we are confident that the slope of regression line is not zero.

d. We are 95% certain that the confidence interval is [70.268, 86.399].

e. None of these

4. 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