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 152 140 116 131 130 Left arm 177 164 187 141 154 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. H_0: mu_d = 0 H_1: mu_d 0 Identify the test statistic. t = (Round to two decimal places as needed.) Identify the P-value P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is than the significance level, the null hypothesis. There sufficient evidence to support the claim of a difference in measurements between the two arms.

Explanation / Answer

The hypothesis will be

H0: ud = 0

H1: ud is not equal to zero

Option C is correct

Test Statistic = -2.95

P value = P(t<-2.95)+P(t>2.95) = 0.042

Greater, do not reject, Insufficient

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