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 hypothesis​test? 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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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 hypothesis​test?

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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