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

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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 decrease when they
are allowed to wear ear buds to listen to music 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 T-test for the claim that the
time to complete the task has decreased at a significance
level of α=0.01α=0.01.
(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 3 decimal places.
For 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<0
This is the sample data:
What is the mean difference for this sample?
Mean difference =
What is the P-value for this test?
P-value =
This P-value leads to a decision to?
As such, the final conclusion is that?
Please provide details and all the formulas used to resolve this
problem.
Thank you