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 0.05 significance level to test for a difference between the measurements from the two arms. what can be concluded?
right arm left arm
145 173
142 163
116 182
133 148
134 149
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.
upper h0: 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 less/greaterthan the significance level, rejectfail 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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