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 146 139 129 129 130 Left arm 178 162 185 142 136 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 hypothesistest? A. H0: μd≠0 H1: μd>0 B. H0: μd=0 H1: μd<0 C. H0: μd≠0 H1: μd=0 D. 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 ▼ greater less than the significance level, ▼ fail to reject reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim of a difference in measurements between the two arms.
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 |
146 |
139 |
129 |
129 |
130 |
|
Left arm |
178 |
162 |
185 |
142 |
136 |
In this example,
μd
is the
A.
H0:
μd≠0
H1:
μd>0
B.
H0:
μd=0
H1:
μd<0
C.
H0:
μd≠0
H1:
μd=0
D.
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
▼
greater
less
than the significance level,
▼
fail to reject
reject
the null hypothesis. There
▼
is not
is
sufficient evidence to support the claim of a difference in measurements between the two arms.
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