Employees at your firm are randomly selected to take a training course.
The course is on risk management. To determine the effectiveness of this course the
employees attending the course were given an exam before and after on risk management.

It is believed that the training exam will be the same for before and after.

training exam beforetraining exam after
78.674.28
81.9973.67
66.776.91
81.0375.9
67.0564.65
71.1170.11
54.0568.44
69.989.3
69.0264.5
91.15101.26
58.9659.33
59.987.11
78.0687.98
88.3373.76
68.0671.52
86.4273.36
66.675.6
78.9379.19
79.4582.65
75.3874.01
74.8284.34
81.1665.26
72.1166.65
74.2788.28
69.2871.39


Download the required data here.

Test your hypothesis at the 0.05 level.
Enter your answer below (4 decimal places).
P-value:
Select Answer:
Fail to Reject Null Hypothesis
Reject Null Hypothesis



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