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:
What is the P-value for this test?