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 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm 147 136 125 135 130 Left arm 179 160 190 136 144 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 0 H_1: mu_d = 0 B.: mu_d = 0 H_1: mu_d notequalto 0 C. H_0: mu_d notequalto 0 H_1: mu_d > 0 D. H_0: mu_d = 0 H_1: mu_d

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Right Arm and Left Arm
H0 : D = 0
HA : D 0
Hypothesis test results:

A. Option B is correct.

Test statistic = -2.52

p - value = 0.065

less; reject; is

Difference Mean Std. Err. DF T-Stat P-value Right Arm - Left Arm -27.2 10.776827 4 -2.523934 0.0651

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