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Name: Listed below are systolic blood pressure measurements (mm Hg) taken f
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Description: 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 norma

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

0.10

significance level to test for a difference between the measurements from the two arms. What can be concluded?

Right arm	151	145	126	132	133
Left arm	167	171	186	153	141

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?

H0:

μd≠0

H1:

μd>0

H0:

μd=0

H1:

μd<0

H0:

μd≠0

H1:

μd=0

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

▼

less

greater

than the significance level,

▼

reject

fail to reject

the null hypothesis. There

▼

is not

sufficient evidence to support the claim of a difference in measurements between the two arms.

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