Question: An ER nurse notices that when she and her colleagues are asked to work overtime, they seem to get less sleep (rather than just having less free time). She collects data from all of the nurses on her shift on the number of hours of overtime worked on their last shift and the amount of sleep they got that evening.
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Hours of overtime
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Hours of sleep
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|
3
|
6
|
|
0
|
9
|
|
1
|
7
|
|
5
|
4
|
|
4
|
6
|
a) Create a scatterplot for these data.
b) Calculate the correlation coefficient.
c) Perform a hypothesis test to determine if there is a significant correlation (α =0.05) between number of hours of overtime worked and hours of sleep.