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 10 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 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 |
---|---|
47.3 | 44.6 |
46.4 | 38.5 |
69.5 | 64.4 |
59.3 | 41 |
54.5 | 53.9 |
32.2 | 44.6 |
49.7 | 48.2 |
71.2 | 56.4 |
42 | 48.2 |
64.7 | 54.3 |
What is the mean difference for this sample?
Mean difference = (Round to 4 Decimal Places)
What is the test statistic for this sample?
Test statistic = (Round to 4 Decimal places)
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