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...




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


148


148


120


132


132




Left arm


185


170


187


139


154









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?







A.



H0​:

μd=0



H1​:

μd≠0







B.



H0​:

μd≠0



H1​:

μd=0







C.



H0​:

μd≠0



H1​:

μd>0







D.



H0​:

μd=0



H1​:

μd<>






Identify the test statistic.



t=nothing

​(Round to two decimal places as​ needed.)

Identify the​ P-value.



​P-value=nothing

​(Round to three decimal places as​ needed.)

What is the conclusion based on the hypothesis​ test?


Since the​ P-value is





less

greater




than the significance​ level,





reject

fail to reject




the null hypothesis. There





is not

is




sufficient evidence to support the claim of a difference in measurements between the two arms.




Jun 09, 2022
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