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?H0:
μd=0
H1:
μd≠0
H0:
μd≠0
H1:
μd=0
H0:
μd=0
H1:
μd<0
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
than the significance level,
the null hypothesis. There
sufficient evidence to support the claim of a difference in measurements between the two arms.
▼
less
greater
▼
reject
fail to reject
▼
is
is not
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