Would you use a paired t-test or an unpaired t-test to analyze the difference between observed means of sprinting speeds between football players and swimmers? Explain your answer.
We will use unpaired T-test in this instance.
Paired T-Test is done when the test subject are same and we are calculating the differences between means of two different experiment on the two related groups. In paired T test, the test subject are same but measurements are taken at two different times, i.e, After and before the experiment. So it is paired observation made about the same subjects.
Meanwhile Unpaired T test is used to measure the differences and the significance in it, if any in between two unrelated groups. Both the groups are provided the same scenario and the mean of both the groups is subjected to the T test.
In the scenario given above, the test sample are two different groups, i.e, Swimmers and Football players while the experiment is one.
Thus it will be unpaired T test.
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