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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 is effective and employees will score higher after it.

Exam before trainingExam after training
68.9157.84
78.7368.58
62.6571.56
78.7466.91

Exam before training has sample mean: 72.258 and the sample standard deviation is: 7.904.
Exams after training has sample mean: 66.223 and the sample standard deviation is: 5.91.
Exams after-before has sample mean: -6.035 and the sample standard deviation is: 9.987.


You can download required data if you wish

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