Question

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change 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 hypothesis test for the claim that the time to complete the task has changed at a significance level of α=0.05α=0.05.
If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting.
Round answers to 4 decimal places.

For the context of this problem, μd=μAfterμd=μAfter - μμ_Before,
where the first data set represents "after" and the second data set represents "before".
      Ho:μd=0Ho:μd=0
      Ha:μd≠0Ha:μd≠0

This is the sample data:

After	Before
40.9	38
62.3	41.2
42.7	35.2
67.8	54
56.5	40.8
63.3	44.6
60.5	40.6
55.2	40.3
60.4	31.6

Answer 1