Question 1082860: Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded?
Right arm
142
131
137
133
133
Left arm
167
160
175
137
139
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This is a paired t-test with df=4
The differences are 25,29,38,-4,6
Here, a t-test is done with only df=4, but the variability is only in the BP for one person, not 5.
The critical value is |t|>2.776
the actual value is x bar=20.4, s=14.8
t=3.073
p-value is 0.037
This is significant at the 0.10 level.
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