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A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will

increase when they are allowed to wear ear buds at work. A random sample of 9 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed.

Perform a Matched-Pairs hypotheis test that the claim that the time to complete the task has increased at a significance level of α





where the first data set represents "after" and the second data set represents "before".


This is the sample data:

After Before

67.7 58.4

49.5 54.5

42.6 43.6

58.9 52.2

41.6 53.2

56.4 54.1

58.4 53.8

67 54

85.6 60.3

What is the P-value for this test?  

P-value = 

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