Histograms & Other Graphs
SOSC341 Understanding Statistical Inference
Assignment Histograms & Other Graphs
Complete the following problems using what we have learned in class to this point. You may complete these problems on a sheet of paper and submit of picture of your work or using a tablet or computer (writing out the problems that require math). The task is not to use computer software or applications to answer the questions but to complete them by hand. You will be graded based on completing each problem (or attempting to do so) but also the accuracy of your responses. If you have questions pertaining to these questions or anything in the class, please contact me and ask.
Review the videos in your Module Resources and Tutorials 1 before completing this assignment.
Assignment
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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