MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
123
133
139
 
Left arm
172
159
190
152
151
 
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>0
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
is not
sufficient evidence to support the claim of a difference in measurements between the two arms.
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