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
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 beconcluded?
Right arm
142
143
123
133
139
Left arm
172
159
190
152
151
In thisexample, d is the mean value of the differences d for the population of all pairs ofdata, 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 hypothesistest?
A.
H0: d=0
H1: d0
B.
H0: d0
H1: d=0
C.
H0: d=0
H1: d<0
D.
H0: d0
H1: d>0
Identify the test statistic.
t=
nothing
(Round to two decimal places asneeded.)
Identify theP-value.
P-value=
nothing
(Round to three decimal places asneeded.)
What is the conclusion based on the hypothesistest?
Since theP-value is
less
greater
than the significancelevel,
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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