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 to listen to music at work. A random sample of...

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 to listen to music at work.

A random sample of 8 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed.

Perform a Matched-Pairs hypotheis T-test for the claim that the time to complete the task has changed at a significance level of α=0.10

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Round answers to 3 decimal places.

For this problem, μd=μAfter

- μ_Before,

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

      Ho:μd=0

      Ha:μd≠0

This is the sample data:

What is the mean difference for this sample?
Mean difference =



What is the test statistic for this sample?
Test statistic =



What is the P-value for this test?
P-value =