Question

A researcher is interested in heart rates of university students. The researcher randomly selects 52 students from a class they are teaching and measures the students’ heart rates. The data obtained is in the file “Heart Rates.csv”.

1. What is the target population? What is the study population? What is an individual?

2. Is this an observational study or an experiment?

3. The tools you have learned for doing statistical inference require that certain assumptions be met. Check whether these assumptions are satisfied for this dataset.

4. A heart rate of 70 beats per minute (bpm) is considered typical. What type of statistical test is appropriate for this setting? Test the hypothesis that the average heart rate of students in this class is typical. Be sure to include all three steps.

5. Give a 95% confidence interval for the average heart rate of students in the class.

6. Imagine that we know the population standard deviation of heart rates in the class. What type of inference procedure would you use if you had this extra information? How would you expect the margin of error to change?

7. In part 4, you found a statistically significant difference between the mean heart rate of students in the class and a typical heat rate of 70 beats per minute. Based on your answer to part 5, does this difference appear to be practically significant?

Heart Rate Data

Pulse
69
70
68
72
78
70
75
74
69
73
77
65
74
78
64
78
73
72
68
68
83
66
82
78
80
75
63
75
66
68
61
71
73
81
64
65
57
81
83
82
86
77
72
79
64
73
74
77
66
68
77
78

Answer 1