Listed below are systolic blood pressure measurements​ (mm

meli199939f

meli199939f

Answered question

2022-03-22

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 0.10significance level to test for a difference between the measurements from the two arms. What can be​ concluded?
Right arm: 146 137 140 132 132
Left-arm: 183 172 179 156 149
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?
Identify the test statistic.
Identify the​ P-value.

Answer & Explanation

kattylouxlvc

kattylouxlvc

Beginner2022-03-23Added 11 answers

The hypothesis are
H0:μd=0
H1:μd0
where
d is defined as the measurement from the right arm minus the measurement from the left arm.
.d=-37,-35,-39,-21,-17
n=5
d=29.8
sd=10.1
test statistic
t=dsdn
t=29.810.15
t=-6.62
Cody Johns

Cody Johns

Beginner2022-03-24Added 8 answers

p value
by using p value table of t distribution at t=6.62 and df=n-1=5-1=4
p value =0.003
level of significance is α=0.10
p value < α
we reject the null hypothesis
there is sufficient evidence that support the claim that the mean of systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman is different

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