In: Statistics and Probability
Ten healthy adult subjects were asked to walk on a treadmill while connected to monitors. One of two kinds of disturbances was applied during the walk, and the number of steps until adaptation was recorded. Each subject experienced both kinds of disturbance, in random order. Researchers want to know whether there is significant evidence of a different mean adaptation time (in steps) for the two disturbances. Here are the summary data for these 10 subjects:
N |
Mean |
StDev |
|
Disturbance A |
10 |
7.32 |
2.10 |
Disturbance B |
10 |
5.17 |
1.86 |
Difference A-B |
10 |
2.15 |
2.69 |
(a) What is the research hypothesis?
(b) Give the null and alternative statistical hypotheses.
(c) Compute t
(d) The p-value of computed t is:
(e) Decision: reject or fail to reject H0
(f) Conclusion: What does this mean with regard to the research hypothesis?