If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To examine the effect of pets and friends in stressful situations, researchers recruited 45 women who said they were dog lovers. Fifteen women were assigned at random to each of the three groups: to do a stressful task alone, with a good friend present, or with their dog present. The stressful task was to count backward by 13s or 17s. The woman's average heart rate during the task was the measure of interest. Based on the data, does it appear that the presence of a pet or friend reduces heart rate during a stressful task? 1. Construct 3 histograms, displaying the heart rates of women in the three groups (note: go to graph, histogram, choose 'heart rates' and then group by: group) 2. Find the mean, standard deviation, median, and IQR of the heart rates of the women in the three groups. Attach work or technology screenshot. 3. Use the histogram and summary statistics to describe the shape, center and spread of the heart rates of the women in the three groups (note: if there are outliers, use median and IQR and if there are not, you can use mean and standard deviation). 4. Use the mean and standard deviation from #2 and the range rule of thumb (?−2? ??? ?+2?) to identify the limits separating values that are significantly low or significantly high. 5. Construct 3 box plots, comparing the heart rates of the women in the three groups (follow note from #1). Mention any outliers. 6. Based on your findings, does it appear that the presence of a pet or friend reduces heart rate during a stressful task? Justify your answer. Group    Heart Rate C    80.369 C    87.446 C    90.015 C    99.046 C    87.231 C    91.754 C    87.875 C    77.8 C    84.738 C    84.877 C    73.277 C    84.523 C    70.877 C    75.477 C    62.646 F    99.692 F    83.4 F    102.154 F    80.277 F    91.354 F    100.877 F    101.062 F    97.046 F    89.815 F    98.2 F    76.908 F    88.015 F    81.6 F    86.985 F    92.492 P    69.169 P    70.169 P    75.985 P    86.446 P    68.862 P    64.169 P    97.538 P    85 P    58.692 P    79.662 P    69.231 P    69.538 P    70.077 P    72.262 P    65.446

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To examine the effect of pets and friends in stressful situations, researchers recruited 45 women who said they were dog lovers. Fifteen women were assigned at random to each of the three groups: to do a stressful task alone, with a good friend present, or with their dog present. The stressful task was to count backward by 13s or 17s. The woman's average heart rate during the task was the measure of interest.

Based on the data, does it appear that the presence of a pet or friend reduces heart rate during a stressful task?

1. Construct 3 histograms, displaying the heart rates of women in the three groups (note: go to graph, histogram, choose 'heart rates' and then group by: group)

2. Find the mean, standard deviation, median, and IQR of the heart rates of the women in the three groups. Attach work or technology screenshot.

3. Use the histogram and summary statistics to describe the shape, center and spread of the heart rates of the women in the three groups (note: if there are outliers, use median and IQR and if there are not, you can use mean and standard deviation).

4. Use the mean and standard deviation from #2 and the range rule of thumb (?−2? ??? ?+2?) to identify the limits separating values that are significantly low or significantly high.

5. Construct 3 box plots, comparing the heart rates of the women in the three groups (follow note from #1). Mention any outliers.

6. Based on your findings, does it appear that the presence of a pet or friend reduces heart rate during a stressful task? Justify your answer.

Group    Heart Rate
C    80.369
C    87.446
C    90.015
C    99.046
C    87.231
C    91.754
C    87.875
C    77.8
C    84.738
C    84.877
C    73.277
C    84.523
C    70.877
C    75.477
C    62.646
F    99.692
F    83.4
F    102.154
F    80.277
F    91.354
F    100.877
F    101.062
F    97.046
F    89.815
F    98.2
F    76.908
F    88.015
F    81.6
F    86.985
F    92.492
P    69.169
P    70.169
P    75.985
P    86.446
P    68.862
P    64.169
P    97.538
P    85
P    58.692
P    79.662
P    69.231
P    69.538
P    70.077
P    72.262
P    65.446

 

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Given data,

C F P
80.369 99.692 69.169
87.446 83.4 70.169
90.015 102.154 75.985
99.046 80.277 86.446
87.231 91.354 68.862
91.754 100.877 64.169
87.875 101.062 97.538
77.8 97.046 85
84.738 89.815 58.692
84.877 98.2 79.662
73.277 76.908 69.231
84.523 88.015 69.538
70.877 81.6 70.077
75.477 86.985 72.262
62.646 92.492 65.446
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