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 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded?
Right arm
|
149
|
140
|
126
|
130
|
133
|
|
---|---|---|---|---|---|---|
Left arm
|
174
|
166
|
179
|
136
|
144
|
|
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?
H1: μd>0
H1: μd<0
H1: μd≠0
H1: μd=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
the null hypothesis. There
sufficient evidence to support the claim of a difference in measurements between the two arms.
greater or less than the significance level,
fail to reject or reject
is not or is
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