Listed below are systolic blood pressure measurements (mm Hg) taken from the rig

Question

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 0.01 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm 142 143 142 130 130 Left arm 179 174 190 149 149 In this example, mu_d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? A. H_0: mu_d notequalto H_1: mu_d > 0 B. H_0: mu_d = 0 H_1: mu_d

Explanation / Answer

From information given, n=5 pairs, dbar=-30.80, sd=12.38

SE(dbar)=sd/sqrt n=12.38/sqrt 5=5.54

t4=(dbar-0)/SE(dbar)=-30.80-0/5.54=-5.56

p value is 0.005. p value is less than 0.01. Reject null hypothesis to conclude that there i ssignificant difference in measurement sof systolic pressure from right and left arm.

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