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(mm_Hg)	Left Arm(mm_Hg)
145	166
141	177
136	190
136	143
129	141

In this​ example, μd 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?

Identify the test statistic.

Identify the​ P-value.

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.

Answer 1