Before After 56.2 30.2 78.9 50.6 57.5 48.2 51.1 14.3 54.5 -6.9 49.4 2.9 64.4 88.8 65.6 35.5
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
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
.
(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=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:
| Before | After |
|---|---|
| 56.2 | 30.2 |
| 78.9 | 50.6 |
| 57.5 | 48.2 |
| 51.1 | 14.3 |
| 54.5 | -6.9 |
| 49.4 | 2.9 |
| 64.4 | 88.8 |
| 65.6 | 35.5 |
What is the
Mean difference =
What is the test statistic for this sample?
Test statistic =
What is the P-value for this test?
P-value =
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