Question
Students in an introductory psychology course were asked to participate in an experiment examining the relationship between quality of sleep and perceived stress. Each student
Students in an introductory psychology course were asked to participate in an experiment examining the relationship between quality of sleep and perceived stress. Each student in the class kept track of the quality of his or her sleep for seven consecutive days using a 5-point scale where 1 indicated very poor quality, 3 indicated average quality, and 5 indicated excellent sleep quality for the previous night. At the end of the week, each student donated a small hair sample consisting of approximately 20 to 30 strands of hair. The level of cortisol in the hair sample was obtained (in nanograms per gram of hair). Higher levels of cortisol indicate higher levels of stress. The table below shows the raw data from the 50 students in the study.
Hair cortisol level (in ng/g) and sleep quality ratings (1-5)
ID | Sleep Quality | Cortisol | ID | Sleep Quality | Cortisol | ID | Sleep Quality | Cortisol | ID | Sleep Quality | Cortisol |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 3 | 136 | 16 | 4 | 103 | 31 | 3 | 79 | 46 | 1 | 35 |
2 | 3 | 74 | 17 | 4 | 31 | 32 | 2 | 105 | 47 | 5 | 166 |
3 | 3 | 143 | 18 | 4 | 81 | 33 | 3 | 145 | 48 | 5 | 83 |
4 | 4 | 137 | 19 | 4 | 97 | 34 | 1 | 48 | 49 | 1 | 165 |
5 | 1 | 107 | 20 | 2 | 151 | 35 | 1 | 194 | 50 | 2 | 51 |
6 | 2 | 136 | 21 | 3 | 140 | 36 | 2 | 174 | |||
7 | 1 | 151 | 22 | 4 | 97 | 37 | 2 | 99 | |||
8 | 1 | 177 | 23 | 4 | 109 | 38 | 2 | 28 | |||
9 | 5 | 140 | 24 | 3 | 199 | 39 | 4 | 130 | |||
10 | 3 | 61 | 25 | 3 | 69 | 40 | 4 | 148 | |||
11 | 2 | 41 | 26 | 4 | 26 | 41 | 5 | 179 | |||
12 | 5 | 189 | 27 | 1 | 112 | 42 | 5 | 189 | |||
13 | 2 | 79 | 28 | 3 | 201 | 43 | 3 | 129 | |||
14 | 2 | 43 | 29 | 2 | 34 | 44 | 2 | 80 | |||
15 | 2 | 170 | 30 | 2 | 110 | 45 | 1 | 79 |
Use the data to answer the following questions:
- Create frequency distributions of both the sleep quality and cortisol levels.
- Draw a graph showing the distribution of sleep quality in the sample.
- Draw a graph showing the distribution of cortisol in the hair sample.
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